School of Business Management
2022/23 Semester 1
BM3034 Business Statistics
ICA 3
Individual Assignment Guide
Date of Issue: Monday, 4 Jul 2022 (through NYP LMS)
Date of Submission: Monday, 15 Aug 2022, 2359 hours (through NYP LMS)
Individual Assignment Guide / BM3034 / Page 2
1.
Assignment Outline
This individual assignment constitutes 45% of the overall assessment for the
module, BM3034 Business Statistics. The assignment covers topics on
continuous probability distribution, sampling distribution of the sample means,
statistical estimation and hypothesis testing. You will solve problems in the above
topics and submit a report on how you apply the statistical concepts to facilitate
your decision-making process when conducting a business survey research.
Learners will submit on an individual basis, a typewritten report in MS Word with
supporting appendices on the raw data and statistical output in MS Excel.
2.
Learning Outcomes
After the completion of this assignment, learners will be able to:
•
•
•
3.
Solve problems using concepts on the continuous probability distribution.
Select a representative sample when conducting business survey research
by applying theories of the sampling distribution of the sample means.
Perform inferential statistics on real-life data using statistical estimation and
hypothesis testing techniques.
Requirements
Please approach your tutor if you have any query about the instructions indicated
below:
3.1 Continuous Probability Distribution (25 marks)
Each learner must use one (1) of the following three (3) continuous
probability distribution cases listed below based on the instructions given.
•
For learners whose admission number ends with the numbers
“0,1,2,3” solve Case 1.
•
For learners whose admission number ends with the numbers
“4,5,6” solve Case 2.
•
For learners whose admission number ends with the numbers
“7,8,9” solve Case 3.
Case 1
According to the traffic statistics by LTA, the speed of
vehicles that travel along PIE is normally distributed with a
mean of 88 km/h and a standard deviation of 21 km/h.
Case 2
Based on a health care researcher of a hospital, the height
of female individuals aged 15-25 is normally distributed with
a mean of 159 cm and a standard deviation of 16 cm.
Individual Assignment Guide / BM3034 / Page 3
Case 3
According to a sport & wellness professional, the weight of
male individuals aged 35-45 is normally distributed with a
mean of 72 kg and a standard deviation of 19 kg.
Based on your case assigned, solve the following problems using
continuous probability distribution techniques. Diagram is not needed in
your answer. Write down your answers with appropriate workings in your
report. State clearly the case that you are solving. Example: 3.1
Continuous Probability Distribution Case 1, 2 or 3.
(a)
State the variance and how the normal curve will change when the
mean decreases and the standard deviation increases.
(3 marks)
(b)
Determine with appropriate calculations if you agree or disagree with
the statement that “95.44% of the population items lies within 2
standard deviations of the population mean.”
(4 marks)
(c)
Calculate the amount for the top and bottom kth percentage of the
population, where k is your register number in your class register.
Show all the steps required.
(12 marks)
(d)
Calculate the probability that an individual in the population (X) is
more than 4 standard deviations bigger than the population mean.
Explain if it is possible to find such an individual in the population with
reference to your case scenario.
(6 marks)
3.2 Sampling Distribution of the Sample Means (25 marks)
A survey research is a tool used by businesses to obtain feedback from
their customers, suppliers or employees. One of the requirements to obtain
good feedback from their respondents when conducting a survey is to
select a representative sample for the survey.
For this assignment, you are the business personnel who is conducting a
survey for your company to obtain an estimate on the population mean.
Write a 750-word reflection on how the concepts and theorem(s) taught in
the topic “Sampling Distribution of the Sample Means” can facilitate your
decision-making process in conducting the business survey research, such
as choosing an appropriate sample size for the survey as well as other
considerations, costs and benefits.
Your reflection should provide discussion and explanation for the following
areas:
Individual Assignment Guide / BM3034 / Page 4
(a)
How do the concepts and theorem(s) in the topic “Sampling
Distribution of the Sample Means” influence your decision in choosing
an appropriate (or minimum) sample size for the survey? (10 marks)
(b)
Is a bigger sample better for the survey? Discuss the benefits of
having a bigger sample for the survey with reference to the standard
error. Any possible costs associated with a bigger sample selected?
How do you decide on the sample size for your survey?
(5 marks)
(c)
Besides the knowledge gained in the topic, suggest any three (3)
measures that you can undertake to obtain good feedback from your
respondents when conducting the survey. Be as innovative as
possible and provide reasons and elaborations to support your
suggestions.
(10 marks)
3.3 Statistical Estimation (25 marks)
Each learner must use one (1) of the following two (2) statistical estimation
cases listed below based on the instructions given.
•
For learners whose admission number ends with letters “A” to
“O”, solve Case 1.
•
For learners whose admission number ends with letters “P” to “Z”,
solve Case 2.
Case 1
Covid19 has highlighted the importance of strict hygiene and
more frequent cleaning and disinfection of hotel
accommodation. A hotel is keen to automate the disinfection
process and is evaluating a new cleaning and disinfection
robot for a month. Currently it takes the housekeeping staff
an average of 65 minutes to disinfect a room. The hotel
management aims to reduce the average disinfection time by
half. If the upper confidence limit of the interval estimate on
the population mean disinfection time by the robot does not
meet the target, the robot will not be purchased, vice versa.
A random sample of hotel rooms cleaned by the robot was
selected and the disinfection time was recorded during the
trial month. The data collected is shown in Appendix 1.
Individual Assignment Guide / BM3034 / Page 5
Case 2
A new Italian restaurant wanted to determine the price that it
should charge for its new signature dish, FB Risotto. The
restaurant intended to price the dish at more than $85 and
was concerned about the impact of price on the popularity of
the new dish. To determine the optimum price to charge, a
random sample of potential customers was surveyed on the
price they would be willing to pay for the dish. If the upper
confidence limit of the interval estimate on the population
mean price is above $85, the manager would price the dish
accordingly, vice versa. The data collected is shown in
Appendix 1.
The sample size taken for each learner is n=15+k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=15+1=16. Thus, you will select
the first n=16 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=15+20=35. Thus, you will select the
first n=35 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using statistical
estimation techniques. Diagram is not needed in your answer. Write down
your answers with appropriate workings in your report. State clearly the
case that you are solving. Example: 3.3 Statistical Estimation Case 1 or
2
(a)
Copy the sample data tabulated in appendix 1 and paste them into
MS Excel and perform descriptive statistics on the data using MS
Excel Data Analysis Tool Pak. Refer to the detailed illustration and
instructions on how to perform descriptive statistics from the video
lectures taught in class and in NYP LMS. Save the raw data and the
output of the descriptive statistics on the same worksheet and submit
them in the appendix section.
(2 marks)
(b)
State the point estimates for the population mean and standard
deviation.
(2 marks)
(c)
Calculate the 95% confidence interval for the population mean. Show
all the required calculations.
(9 marks)
(d)
Determine the decision for your case above.
(e)
Suggest how to improve the reliability and precision of the confidence
interval calculated. Calculate the minimum sample size which can
reduce the width of the confidence interval by half.
(9 marks)
(3 marks)
Individual Assignment Guide / BM3034 / Page 6
3.4 Hypothesis testing (25 marks)
Each learner must solve one (1) of the following two (2) hypothesis testing
cases listed below based on the instructions given.
•
For learners whose admission number ends with an odd number
(1,3,5,7,9), solve Case 1.
•
For learners whose admission number ends with an even number
(2,4,6,8,0), solve Case 2.
Case 1
According to a marketing personnel, the daily revenue target
of a new product set by management was $25,000 per day.
The marketing personnel convened a survey to measure the
daily revenue of the new product to determine if the average
actual revenue was below the target. If the average actual
revenue was below the target, more money will be spent on
marketing the new product. The data collected is shown in a
table in Appendix 1. Determine if the population mean daily
revenue of the product was below the target with a
hypothesis test at 1% level of significance. The data collected
is shown in Appendix 1
Case 2
A restaurant was evaluating if its customer service standard
needs to be enhanced. Management had determined that if
the average satisfaction score of its customers fell below 70
points, corrective actions would be undertaken. To measure
the satisfaction score of its customers, a survey was
commissioned. The data collected is shown in a table in
Appendix 1. Determine if the average satisfaction score of
its customers fell below 80 points with a hypothesis test at
5% significance level. The data collected is shown in
Appendix 1
The sample size taken for each learner is n=44-k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=44-1=43. Thus, you will select
the first n=43 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=44-20=24. Thus, you will select the
Individual Assignment Guide / BM3034 / Page 7
first n=24 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using
hypothesis testing methodology. Diagram is not needed in your answer.
Write down your answers with appropriate workings in your report. State
clearly the case that you are solving. Example: 3.4 Hypothesis Testing
Case 1 or 2.
4.
(a)
Copy the relevant sample data tabulated in appendix 1 and paste
them into MS Excel and perform descriptive statistics on the data
using MS Excel Data Analysis Tool Pak. Refer to the detailed
illustration and instructions on how to perform descriptive statistics
from the video lectures taught in class and in NYP LMS. Save the raw
data and the output of the descriptive statistics on the same worksheet
and submit them in the appendix section.
(2 marks)
(b)
State the values of the sample mean and sample standard deviation.
(2 marks)
(c)
Determine the conclusion for your case above using a hypothesis
test. Show all the calculations required.
(11 marks)
(d)
Describe type I and II errors.
(e)
Explain the consequences of committing type I and type II errors
respectively. Suggest how to adjust the significance level to minimise
type I and type II errors respectively.
(6 marks)
(4 marks)
Submissions
Report Format
• A written report of not more than 7 pages (excluding cover page and
appendices)
• Arial Font size 12 with single spacing must be submitted by each
individual learner.
• Please assign your file name for submission with the following format:
BM3034_Class_Name_Admin Number e.g.
BM3034_HA_Soh Eazi_1234567A
Your report should clearly label the following parts:
i)
Cover Page: Include a cover page with the assignment title (BM3034 ICA
3: Business Statistics Individual Assignment), name and admission
number of the learner.
Individual Assignment Guide / BM3034 / Page 8
ii)
Continuous Probability Distribution: Solutions for the case assigned to
you.
iii)
Sampling Distribution of the Sample Means: A reflection of not more
than 750 words (inclusive within the 7-page limit) on the topic that consists
of discussion and explanation for the areas required as mentioned above.
iv)
Statistical Estimation: Solutions for the case assigned to you.
v)
Hypothesis Testing: Solutions for the case assigned to you.
vi)
Appendix: providing the raw sample data of the statistical estimation and
hypothesis testing cases assigned and the output of the descriptive
statistics generated by the MS Excel Data Analysis Tool Pak.
Submission through Turnitin in NYP LMS and Due Date
The report is to be submitted through Turnitin latest by Monday,15 Aug
2022, 2359 hours. Turnitin is a cloud-based solution with capabilities in
originality checking using their OriginalityCheck tool. OriginalityCheck allows
your instructor to monitor assignment submissions and identify potential cases
of plagiarism by automatically comparing submissions to an online database of
original content. It is the responsibility of the learners to ensure that the matching
text highlighted in the Turnitin similarity report is properly referenced.
1.
Please read the following guide on how to submit your report in Politemall:
https://help.turnitin.com/feedback-studio/d2l/student/submitting-apaper/submitting-a-paper.htm
2.
Learners can also view the following video to learn how to submit your
report in Politemall:
Late submission and penalties
A penalty of 5% on the base marks to be deducted for each working day of late
submission from the respective assessment marks allocated should the report
be submitted late. Any late submission after 5 working days will be awarded zero
mark.
Plagiarism
Plagiarism is serious matter. Plagiarism is the act of taking and using the whole
or any part of ideas, words or works of other people and passing it off as one’s
Individual Assignment Guide / BM3034 / Page 9
own work, without acknowledgement of the original source. The act of
plagiarism is an offence under NYP Academic Integrity Policy:
https://www.nyp.edu.sg/current-students/academic-matters/nyp-academicintegrity.html. Any act of plagiarism may be construed as academic dishonesty.
A candidate who, after due disciplinary process, is found to have committed an
act that contravenes academic integrity in any assessment of a module would
be liable for disciplinary action under NYP Academic Integrity Policy.
It is also important not to share your or your team’s work with other learner(s) or
team(s). ALL parties involved in any act of plagiarism (including learner(s)
or team(s) who have shared their work with others) would be liable for
disciplinary action under NYP Academic Integrity Policy. If any learner had
asked you to share your work with him/her, it is important to turn down his/her
request and report the incident immediately to your module tutor to safeguard
your integrity.
All content from online or other primary sources should be properly referenced
(even if you are paraphrasing). Learners can use https://www.scribbr.com/apacitation-generator/ or other online citation generator to properly state the source
of the reference (websites, journal articles, books and reports) in the American
Psychological Association (APA) format. The APA format is a writing style and
format for academic documents such as scholarly journal articles and
books. When in doubt, the rule is to acknowledge the source.
A Turnitin Similarity Report generated provides detailed information about the
matches found between a learner’s submitted work and existing sources.
Learners can use the report to review their submissions for originality and identify
the specific areas of their submitted work where proper referencing are required.
Failing to do so may lead to plagiarism being reported in Turnitin.
5.
When an assignment is submitted using Turnitin, the Turnitin Similarity Report is
normally available within 15-30 minutes. However, a slight delay may occur
between the upload and the availability of the Similarity Report during periods of
high usage. Hence, learners are encouraged to submit their report at least one
day before the submission deadline so that they have sufficient time to make any
necessary amendment and resubmission before the submission deadline
expires.
Assessment
The assignment written report carries a total of 100 marks and constitutes 45%
of the overall grade for the module. The breakdown of marks is as follows:
The evaluation criteria for the written report is as follow:
Individual Assignment Guide / BM3034 / Page 10
Continuous Probability Distribution (25 marks)
i)
Correct solutions for the assigned case.
Sampling Distribution of the Sample Means (25 marks)
A coherent reflection of the topic that provides adequate discussion,
elaboration and explanation. The details of the rubrics are attached in
Appendix 2.
Statistical Estimation (25 marks)
i)
Correct solutions for the assigned case.
Hypothesis Testing (25 marks)
i)
Correct solutions for the assigned case.
Individual Assignment Guide / BM3034 / Page 11
Appendix 1
Sample data for statistical estimation and hypothesis testing questions.
Obtain the sample data from the MS Word document named “Appendix 1Sample data for statistical estimation and hypothesis testing questions” in the
NYP LMS.
Individual Assignment Guide / BM3034 / Page 12
Appendix 2-Scoring Rubric of Reflection
Evaluation Criteria
Concepts and
theorem(s) in the
topic and
appropriate
(minimum) sample
size chosen
(10 marks)
Exceed
Expectations
9-10 marks
Concepts and
theorem(s) are all
stated correctly.
Appropriate
(minimum) sample
size chosen is
correct.
Excellent
explanation and
elaboration
provided.
Benefits and costs
of a big sample size
(5 marks)
Meet
Expectations
7-8 marks
Approaching
Expectations
5-6 marks
Below
Expectations
3-4 marks
Inadequate
Concepts and
theorem(s) are
mostly stated
correctly.
Concepts and
theorem(s) are
stated with some
errors.
Concepts and
theorem(s) are
stated with a lot of
errors.
No concept or that
concepts and
theorem(s) are
stated wrongly.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
wrong.
Appropriate
(minimum) sample
size chosen is
wrong.
Good explanation
and elaboration
provided.
Average
explanation and
elaboration
provided.
Poor explanation
and elaboration
provided.
No/ wrong
explanation and
elaboration
provided.
1-2 marks
5 marks
4 marks
3 marks
2 marks
1 mark
Excellent
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Good explanation
and elaboration of
the benefits and
costs of having a
big sample size.
Average
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Poor explanation
and elaboration of
the benefits and
costs of having a
big sample size.
No/ wrong
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Individual Assignment Guide / BM3034 / Page 13
Decision made on
the sample size to
take with excellent
explanation.
Suggestions on
three measures to
obtain good
feedback from
respondents
(10 marks)
Decision made on
the sample size to
take with average
explanation.
Decision made on
the sample size to
take with poor
explanation.
No decision made
on the sample size
to take.
9-10 marks
Decision made on
the sample size to
take with good
explanation.
7-8 marks
5-6 marks
3-4 marks
1-2 marks
All three
suggestions
provided are valid
and innovative.
Most of the
suggestions
provided are valid
and innovative.
Some of the
suggestions
provided are valid
and innovative.
Some of the
suggestions are
invalid.
No suggestion
provided or that
suggestions are
invalid.
Excellent
elaboration on all
three suggestions
provided.
Good elaboration
on the suggestions
provided.
Average
elaboration on the
suggestions
provided.
Poor elaboration
on the suggestions
provided.
No elaboration on
the suggestions
provided.
.
END
Appendix 1-Sample data for statistical estimation and hypothesis testing
questions
Observation
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
Disinfection time
(minutes)
Price willing to
pay ($)
Daily revenue of
new product ($)
Customer satisfaction
score (points)
20
21
15
25
22
30
20
33
21
26
20
25
22
24
35
15
13
59
62
15
13
22
20
26
67
45
24
19
18
44
44
36
21
24
23
32
30
41
25
80
81
45
35
55
46
66
85
92
87
86
95
78
94
78
80
86
99
89
82
75
75
75
100
94
77
87
100
97
25
33
82
85
100
90
94
99
95
33
22843
22456
23147
24151
28027
27676
22778
24777
26910
20261
25221
20544
26378
22443
21002
15889
21889
20445
23530
22974
20826
28754
32336
26186
20355
12909
21880
15669
31795
20736
21282
26105
24115
25796
26019
26501
21094
23002
22089
73
64
55
70
85
67
72
45
64
65
45
71
69
71
69
56
68
67
65
79
80
33
81
75
47
45
89
70
87
76
73
45
61
65
81
79
33
61
72
Observation
Number
40
41
42
43
44
45
46
47
48
49
50
Disinfection time
(minutes)
Price willing to
pay ($)
Daily revenue of
new product ($)
Customer satisfaction
score (points)
50
22
23
34
11
68
30
45
72
57
54
85
83
82
122
98
33
33
45
25
90
75
29914
29448
25729
13782
22553
25375
29103
23643
22284
28719
29756
45
80
63
81
76
78
88
86
65
61
71
School of Business Management
2022/23 Semester 1
BM3034 Business Statistics
ICA 3
Individual Assignment Guide
Date of Issue: Monday, 4 Jul 2022 (through NYP LMS)
Date of Submission: Monday, 15 Aug 2022, 2359 hours (through NYP LMS)
Individual Assignment Guide / BM3034 / Page 2
1.
Assignment Outline
This individual assignment constitutes 45% of the overall assessment for the
module, BM3034 Business Statistics. The assignment covers topics on
continuous probability distribution, sampling distribution of the sample means,
statistical estimation and hypothesis testing. You will solve problems in the above
topics and submit a report on how you apply the statistical concepts to facilitate
your decision-making process when conducting a business survey research.
Learners will submit on an individual basis, a typewritten report in MS Word with
supporting appendices on the raw data and statistical output in MS Excel.
2.
Learning Outcomes
After the completion of this assignment, learners will be able to:
•
•
•
3.
Solve problems using concepts on the continuous probability distribution.
Select a representative sample when conducting business survey research
by applying theories of the sampling distribution of the sample means.
Perform inferential statistics on real-life data using statistical estimation and
hypothesis testing techniques.
Requirements
Please approach your tutor if you have any query about the instructions indicated
below:
3.1 Continuous Probability Distribution (25 marks)
Each learner must use one (1) of the following three (3) continuous
probability distribution cases listed below based on the instructions given.
•
For learners whose admission number ends with the numbers
“0,1,2,3” solve Case 1.
•
For learners whose admission number ends with the numbers
“4,5,6” solve Case 2.
•
For learners whose admission number ends with the numbers
“7,8,9” solve Case 3.
Case 1
According to the traffic statistics by LTA, the speed of
vehicles that travel along PIE is normally distributed with a
mean of 88 km/h and a standard deviation of 21 km/h.
Case 2
Based on a health care researcher of a hospital, the height
of female individuals aged 15-25 is normally distributed with
a mean of 159 cm and a standard deviation of 16 cm.
Individual Assignment Guide / BM3034 / Page 3
Case 3
According to a sport & wellness professional, the weight of
male individuals aged 35-45 is normally distributed with a
mean of 72 kg and a standard deviation of 19 kg.
Based on your case assigned, solve the following problems using
continuous probability distribution techniques. Diagram is not needed in
your answer. Write down your answers with appropriate workings in your
report. State clearly the case that you are solving. Example: 3.1
Continuous Probability Distribution Case 1, 2 or 3.
(a)
State the variance and how the normal curve will change when the
mean decreases and the standard deviation increases.
(3 marks)
(b)
Determine with appropriate calculations if you agree or disagree with
the statement that “95.44% of the population items lies within 2
standard deviations of the population mean.”
(4 marks)
(c)
Calculate the amount for the top and bottom kth percentage of the
population, where k is your register number in your class register.
Show all the steps required.
(12 marks)
(d)
Calculate the probability that an individual in the population (X) is
more than 4 standard deviations bigger than the population mean.
Explain if it is possible to find such an individual in the population with
reference to your case scenario.
(6 marks)
3.2 Sampling Distribution of the Sample Means (25 marks)
A survey research is a tool used by businesses to obtain feedback from
their customers, suppliers or employees. One of the requirements to obtain
good feedback from their respondents when conducting a survey is to
select a representative sample for the survey.
For this assignment, you are the business personnel who is conducting a
survey for your company to obtain an estimate on the population mean.
Write a 750-word reflection on how the concepts and theorem(s) taught in
the topic “Sampling Distribution of the Sample Means” can facilitate your
decision-making process in conducting the business survey research, such
as choosing an appropriate sample size for the survey as well as other
considerations, costs and benefits.
Your reflection should provide discussion and explanation for the following
areas:
Individual Assignment Guide / BM3034 / Page 4
(a)
How do the concepts and theorem(s) in the topic “Sampling
Distribution of the Sample Means” influence your decision in choosing
an appropriate (or minimum) sample size for the survey? (10 marks)
(b)
Is a bigger sample better for the survey? Discuss the benefits of
having a bigger sample for the survey with reference to the standard
error. Any possible costs associated with a bigger sample selected?
How do you decide on the sample size for your survey?
(5 marks)
(c)
Besides the knowledge gained in the topic, suggest any three (3)
measures that you can undertake to obtain good feedback from your
respondents when conducting the survey. Be as innovative as
possible and provide reasons and elaborations to support your
suggestions.
(10 marks)
3.3 Statistical Estimation (25 marks)
Each learner must use one (1) of the following two (2) statistical estimation
cases listed below based on the instructions given.
•
For learners whose admission number ends with letters “A” to
“O”, solve Case 1.
•
For learners whose admission number ends with letters “P” to “Z”,
solve Case 2.
Case 1
Covid19 has highlighted the importance of strict hygiene and
more frequent cleaning and disinfection of hotel
accommodation. A hotel is keen to automate the disinfection
process and is evaluating a new cleaning and disinfection
robot for a month. Currently it takes the housekeeping staff
an average of 65 minutes to disinfect a room. The hotel
management aims to reduce the average disinfection time by
half. If the upper confidence limit of the interval estimate on
the population mean disinfection time by the robot does not
meet the target, the robot will not be purchased, vice versa.
A random sample of hotel rooms cleaned by the robot was
selected and the disinfection time was recorded during the
trial month. The data collected is shown in Appendix 1.
Individual Assignment Guide / BM3034 / Page 5
Case 2
A new Italian restaurant wanted to determine the price that it
should charge for its new signature dish, FB Risotto. The
restaurant intended to price the dish at more than $85 and
was concerned about the impact of price on the popularity of
the new dish. To determine the optimum price to charge, a
random sample of potential customers was surveyed on the
price they would be willing to pay for the dish. If the upper
confidence limit of the interval estimate on the population
mean price is above $85, the manager would price the dish
accordingly, vice versa. The data collected is shown in
Appendix 1.
The sample size taken for each learner is n=15+k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=15+1=16. Thus, you will select
the first n=16 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=15+20=35. Thus, you will select the
first n=35 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using statistical
estimation techniques. Diagram is not needed in your answer. Write down
your answers with appropriate workings in your report. State clearly the
case that you are solving. Example: 3.3 Statistical Estimation Case 1 or
2
(a)
Copy the sample data tabulated in appendix 1 and paste them into
MS Excel and perform descriptive statistics on the data using MS
Excel Data Analysis Tool Pak. Refer to the detailed illustration and
instructions on how to perform descriptive statistics from the video
lectures taught in class and in NYP LMS. Save the raw data and the
output of the descriptive statistics on the same worksheet and submit
them in the appendix section.
(2 marks)
(b)
State the point estimates for the population mean and standard
deviation.
(2 marks)
(c)
Calculate the 95% confidence interval for the population mean. Show
all the required calculations.
(9 marks)
(d)
Determine the decision for your case above.
(e)
Suggest how to improve the reliability and precision of the confidence
interval calculated. Calculate the minimum sample size which can
reduce the width of the confidence interval by half.
(9 marks)
(3 marks)
Individual Assignment Guide / BM3034 / Page 6
3.4 Hypothesis testing (25 marks)
Each learner must solve one (1) of the following two (2) hypothesis testing
cases listed below based on the instructions given.
•
For learners whose admission number ends with an odd number
(1,3,5,7,9), solve Case 1.
•
For learners whose admission number ends with an even number
(2,4,6,8,0), solve Case 2.
Case 1
According to a marketing personnel, the daily revenue target
of a new product set by management was $25,000 per day.
The marketing personnel convened a survey to measure the
daily revenue of the new product to determine if the average
actual revenue was below the target. If the average actual
revenue was below the target, more money will be spent on
marketing the new product. The data collected is shown in a
table in Appendix 1. Determine if the population mean daily
revenue of the product was below the target with a
hypothesis test at 1% level of significance. The data collected
is shown in Appendix 1
Case 2
A restaurant was evaluating if its customer service standard
needs to be enhanced. Management had determined that if
the average satisfaction score of its customers fell below 70
80 points, corrective actions would be undertaken. To
measure the satisfaction score of its customers, a survey
was commissioned. The data collected is shown in a table in
Appendix 1. Determine if the average satisfaction score of
its customers fell below 80 points with a hypothesis test at
5% significance level. The data collected is shown in
Appendix 1
The sample size taken for each learner is n=44-k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=44-1=43. Thus, you will select
the first n=43 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=44-20=24. Thus, you will select the
Individual Assignment Guide / BM3034 / Page 7
first n=24 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using
hypothesis testing methodology. Diagram is not needed in your answer.
Write down your answers with appropriate workings in your report. State
clearly the case that you are solving. Example: 3.4 Hypothesis Testing
Case 1 or 2.
4.
(a)
Copy the relevant sample data tabulated in appendix 1 and paste
them into MS Excel and perform descriptive statistics on the data
using MS Excel Data Analysis Tool Pak. Refer to the detailed
illustration and instructions on how to perform descriptive statistics
from the video lectures taught in class and in NYP LMS. Save the raw
data and the output of the descriptive statistics on the same worksheet
and submit them in the appendix section.
(2 marks)
(b)
State the values of the sample mean and sample standard deviation.
(2 marks)
(c)
Determine the conclusion for your case above using a hypothesis
test. Show all the calculations required.
(11 marks)
(d)
Describe type I and II errors.
(e)
Explain the consequences of committing type I and type II errors
respectively. Suggest how to adjust the significance level to minimise
type I and type II errors respectively.
(6 marks)
(4 marks)
Submissions
Report Format
• A written report of not more than 7 pages (excluding cover page and
appendices)
• Arial Font size 12 with single spacing must be submitted by each
individual learner.
• Please assign your file name for submission with the following format:
BM3034_Class_Name_Admin Number e.g.
BM3034_HA_Soh Eazi_1234567A
Your report should clearly label the following parts:
i)
Cover Page: Include a cover page with the assignment title (BM3034 ICA
3: Business Statistics Individual Assignment), name and admission
number of the learner.
Individual Assignment Guide / BM3034 / Page 8
ii)
Continuous Probability Distribution: Solutions for the case assigned to
you.
iii)
Sampling Distribution of the Sample Means: A reflection of not more
than 750 words (inclusive within the 7-page limit) on the topic that consists
of discussion and explanation for the areas required as mentioned above.
iv)
Statistical Estimation: Solutions for the case assigned to you.
v)
Hypothesis Testing: Solutions for the case assigned to you.
vi)
Appendix: providing the raw sample data of the statistical estimation and
hypothesis testing cases assigned and the output of the descriptive
statistics generated by the MS Excel Data Analysis Tool Pak.
Submission through Turnitin in NYP LMS and Due Date
The report is to be submitted through Turnitin latest by Monday,15 Aug
2022, 2359 hours. Turnitin is a cloud-based solution with capabilities in
originality checking using their OriginalityCheck tool. OriginalityCheck allows
your instructor to monitor assignment submissions and identify potential cases
of plagiarism by automatically comparing submissions to an online database of
original content. It is the responsibility of the learners to ensure that the matching
text highlighted in the Turnitin similarity report is properly referenced.
1.
Please read the following guide on how to submit your report in Politemall:
https://help.turnitin.com/feedback-studio/d2l/student/submitting-apaper/submitting-a-paper.htm
2.
Learners can also view the following video to learn how to submit your
report in Politemall:
Late submission and penalties
A penalty of 5% on the base marks to be deducted for each working day of late
submission from the respective assessment marks allocated should the report
be submitted late. Any late submission after 5 working days will be awarded zero
mark.
Plagiarism
Plagiarism is serious matter. Plagiarism is the act of taking and using the whole
or any part of ideas, words or works of other people and passing it off as one’s
Individual Assignment Guide / BM3034 / Page 9
own work, without acknowledgement of the original source. The act of
plagiarism is an offence under NYP Academic Integrity Policy:
https://www.nyp.edu.sg/current-students/academic-matters/nyp-academicintegrity.html. Any act of plagiarism may be construed as academic dishonesty.
A candidate who, after due disciplinary process, is found to have committed an
act that contravenes academic integrity in any assessment of a module would
be liable for disciplinary action under NYP Academic Integrity Policy.
It is also important not to share your or your team’s work with other learner(s) or
team(s). ALL parties involved in any act of plagiarism (including learner(s)
or team(s) who have shared their work with others) would be liable for
disciplinary action under NYP Academic Integrity Policy. If any learner had
asked you to share your work with him/her, it is important to turn down his/her
request and report the incident immediately to your module tutor to safeguard
your integrity.
All content from online or other primary sources should be properly referenced
(even if you are paraphrasing). Learners can use https://www.scribbr.com/apacitation-generator/ or other online citation generator to properly state the source
of the reference (websites, journal articles, books and reports) in the American
Psychological Association (APA) format. The APA format is a writing style and
format for academic documents such as scholarly journal articles and
books. When in doubt, the rule is to acknowledge the source.
A Turnitin Similarity Report generated provides detailed information about the
matches found between a learner’s submitted work and existing sources.
Learners can use the report to review their submissions for originality and identify
the specific areas of their submitted work where proper referencing are required.
Failing to do so may lead to plagiarism being reported in Turnitin.
5.
When an assignment is submitted using Turnitin, the Turnitin Similarity Report is
normally available within 15-30 minutes. However, a slight delay may occur
between the upload and the availability of the Similarity Report during periods of
high usage. Hence, learners are encouraged to submit their report at least one
day before the submission deadline so that they have sufficient time to make any
necessary amendment and resubmission before the submission deadline
expires.
Assessment
The assignment written report carries a total of 100 marks and constitutes 45%
of the overall grade for the module. The breakdown of marks is as follows:
The evaluation criteria for the written report is as follow:
Individual Assignment Guide / BM3034 / Page 10
Continuous Probability Distribution (25 marks)
i)
Correct solutions for the assigned case.
Sampling Distribution of the Sample Means (25 marks)
A coherent reflection of the topic that provides adequate discussion,
elaboration and explanation. The details of the rubrics are attached in
Appendix 2.
Statistical Estimation (25 marks)
i)
Correct solutions for the assigned case.
Hypothesis Testing (25 marks)
i)
Correct solutions for the assigned case.
Individual Assignment Guide / BM3034 / Page 11
Appendix 1
Sample data for statistical estimation and hypothesis testing questions.
Obtain the sample data from the MS Word document named “Appendix 1Sample data for statistical estimation and hypothesis testing questions” in the
NYP LMS.
Individual Assignment Guide / BM3034 / Page 12
Appendix 2-Scoring Rubric of Reflection
Evaluation Criteria
Concepts and
theorem(s) in the
topic and
appropriate
(minimum) sample
size chosen
(10 marks)
Exceed
Expectations
9-10 marks
Concepts and
theorem(s) are all
stated correctly.
Appropriate
(minimum) sample
size chosen is
correct.
Excellent
explanation and
elaboration
provided.
Benefits and costs
of a big sample size
(5 marks)
Meet
Expectations
7-8 marks
Approaching
Expectations
5-6 marks
Below
Expectations
3-4 marks
Inadequate
Concepts and
theorem(s) are
mostly stated
correctly.
Concepts and
theorem(s) are
stated with some
errors.
Concepts and
theorem(s) are
stated with a lot of
errors.
No concept or that
concepts and
theorem(s) are
stated wrongly.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
wrong.
Appropriate
(minimum) sample
size chosen is
wrong.
Good explanation
and elaboration
provided.
Average
explanation and
elaboration
provided.
Poor explanation
and elaboration
provided.
No/ wrong
explanation and
elaboration
provided.
1-2 marks
5 marks
4 marks
3 marks
2 marks
1 mark
Excellent
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Good explanation
and elaboration of
the benefits and
costs of having a
big sample size.
Average
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Poor explanation
and elaboration of
the benefits and
costs of having a
big sample size.
No/ wrong
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Individual Assignment Guide / BM3034 / Page 13
Decision made on
the sample size to
take with excellent
explanation.
Suggestions on
three measures to
obtain good
feedback from
respondents
Decision made on
the sample size to
take with average
explanation.
Decision made on
the sample size to
take with poor
explanation.
No decision made
on the sample size
to take.
9-10 marks
Decision made on
the sample size to
take with good
explanation.
7-8 marks
5-6 marks
3-4 marks
1-2 marks
All three
suggestions
provided are valid
and innovative.
Most of the
suggestions
provided are valid
and innovative.
Some of the
suggestions
provided are valid
and innovative.
Some of the
suggestions are
invalid.
No suggestion
provided or that
suggestions are
invalid.
Excellent
elaboration on all
three suggestions
provided.
Good elaboration
on the suggestions
provided.
Average
elaboration on the
suggestions
provided.
Poor elaboration
on the suggestions
provided.
No elaboration on
the suggestions
provided.
.
(10 marks)
END
Purchase answer to see full
attachment
2022/23 Semester 1
BM3034 Business Statistics
ICA 3
Individual Assignment Guide
Date of Issue: Monday, 4 Jul 2022 (through NYP LMS)
Date of Submission: Monday, 15 Aug 2022, 2359 hours (through NYP LMS)
Individual Assignment Guide / BM3034 / Page 2
1.
Assignment Outline
This individual assignment constitutes 45% of the overall assessment for the
module, BM3034 Business Statistics. The assignment covers topics on
continuous probability distribution, sampling distribution of the sample means,
statistical estimation and hypothesis testing. You will solve problems in the above
topics and submit a report on how you apply the statistical concepts to facilitate
your decision-making process when conducting a business survey research.
Learners will submit on an individual basis, a typewritten report in MS Word with
supporting appendices on the raw data and statistical output in MS Excel.
2.
Learning Outcomes
After the completion of this assignment, learners will be able to:
•
•
•
3.
Solve problems using concepts on the continuous probability distribution.
Select a representative sample when conducting business survey research
by applying theories of the sampling distribution of the sample means.
Perform inferential statistics on real-life data using statistical estimation and
hypothesis testing techniques.
Requirements
Please approach your tutor if you have any query about the instructions indicated
below:
3.1 Continuous Probability Distribution (25 marks)
Each learner must use one (1) of the following three (3) continuous
probability distribution cases listed below based on the instructions given.
•
For learners whose admission number ends with the numbers
“0,1,2,3” solve Case 1.
•
For learners whose admission number ends with the numbers
“4,5,6” solve Case 2.
•
For learners whose admission number ends with the numbers
“7,8,9” solve Case 3.
Case 1
According to the traffic statistics by LTA, the speed of
vehicles that travel along PIE is normally distributed with a
mean of 88 km/h and a standard deviation of 21 km/h.
Case 2
Based on a health care researcher of a hospital, the height
of female individuals aged 15-25 is normally distributed with
a mean of 159 cm and a standard deviation of 16 cm.
Individual Assignment Guide / BM3034 / Page 3
Case 3
According to a sport & wellness professional, the weight of
male individuals aged 35-45 is normally distributed with a
mean of 72 kg and a standard deviation of 19 kg.
Based on your case assigned, solve the following problems using
continuous probability distribution techniques. Diagram is not needed in
your answer. Write down your answers with appropriate workings in your
report. State clearly the case that you are solving. Example: 3.1
Continuous Probability Distribution Case 1, 2 or 3.
(a)
State the variance and how the normal curve will change when the
mean decreases and the standard deviation increases.
(3 marks)
(b)
Determine with appropriate calculations if you agree or disagree with
the statement that “95.44% of the population items lies within 2
standard deviations of the population mean.”
(4 marks)
(c)
Calculate the amount for the top and bottom kth percentage of the
population, where k is your register number in your class register.
Show all the steps required.
(12 marks)
(d)
Calculate the probability that an individual in the population (X) is
more than 4 standard deviations bigger than the population mean.
Explain if it is possible to find such an individual in the population with
reference to your case scenario.
(6 marks)
3.2 Sampling Distribution of the Sample Means (25 marks)
A survey research is a tool used by businesses to obtain feedback from
their customers, suppliers or employees. One of the requirements to obtain
good feedback from their respondents when conducting a survey is to
select a representative sample for the survey.
For this assignment, you are the business personnel who is conducting a
survey for your company to obtain an estimate on the population mean.
Write a 750-word reflection on how the concepts and theorem(s) taught in
the topic “Sampling Distribution of the Sample Means” can facilitate your
decision-making process in conducting the business survey research, such
as choosing an appropriate sample size for the survey as well as other
considerations, costs and benefits.
Your reflection should provide discussion and explanation for the following
areas:
Individual Assignment Guide / BM3034 / Page 4
(a)
How do the concepts and theorem(s) in the topic “Sampling
Distribution of the Sample Means” influence your decision in choosing
an appropriate (or minimum) sample size for the survey? (10 marks)
(b)
Is a bigger sample better for the survey? Discuss the benefits of
having a bigger sample for the survey with reference to the standard
error. Any possible costs associated with a bigger sample selected?
How do you decide on the sample size for your survey?
(5 marks)
(c)
Besides the knowledge gained in the topic, suggest any three (3)
measures that you can undertake to obtain good feedback from your
respondents when conducting the survey. Be as innovative as
possible and provide reasons and elaborations to support your
suggestions.
(10 marks)
3.3 Statistical Estimation (25 marks)
Each learner must use one (1) of the following two (2) statistical estimation
cases listed below based on the instructions given.
•
For learners whose admission number ends with letters “A” to
“O”, solve Case 1.
•
For learners whose admission number ends with letters “P” to “Z”,
solve Case 2.
Case 1
Covid19 has highlighted the importance of strict hygiene and
more frequent cleaning and disinfection of hotel
accommodation. A hotel is keen to automate the disinfection
process and is evaluating a new cleaning and disinfection
robot for a month. Currently it takes the housekeeping staff
an average of 65 minutes to disinfect a room. The hotel
management aims to reduce the average disinfection time by
half. If the upper confidence limit of the interval estimate on
the population mean disinfection time by the robot does not
meet the target, the robot will not be purchased, vice versa.
A random sample of hotel rooms cleaned by the robot was
selected and the disinfection time was recorded during the
trial month. The data collected is shown in Appendix 1.
Individual Assignment Guide / BM3034 / Page 5
Case 2
A new Italian restaurant wanted to determine the price that it
should charge for its new signature dish, FB Risotto. The
restaurant intended to price the dish at more than $85 and
was concerned about the impact of price on the popularity of
the new dish. To determine the optimum price to charge, a
random sample of potential customers was surveyed on the
price they would be willing to pay for the dish. If the upper
confidence limit of the interval estimate on the population
mean price is above $85, the manager would price the dish
accordingly, vice versa. The data collected is shown in
Appendix 1.
The sample size taken for each learner is n=15+k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=15+1=16. Thus, you will select
the first n=16 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=15+20=35. Thus, you will select the
first n=35 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using statistical
estimation techniques. Diagram is not needed in your answer. Write down
your answers with appropriate workings in your report. State clearly the
case that you are solving. Example: 3.3 Statistical Estimation Case 1 or
2
(a)
Copy the sample data tabulated in appendix 1 and paste them into
MS Excel and perform descriptive statistics on the data using MS
Excel Data Analysis Tool Pak. Refer to the detailed illustration and
instructions on how to perform descriptive statistics from the video
lectures taught in class and in NYP LMS. Save the raw data and the
output of the descriptive statistics on the same worksheet and submit
them in the appendix section.
(2 marks)
(b)
State the point estimates for the population mean and standard
deviation.
(2 marks)
(c)
Calculate the 95% confidence interval for the population mean. Show
all the required calculations.
(9 marks)
(d)
Determine the decision for your case above.
(e)
Suggest how to improve the reliability and precision of the confidence
interval calculated. Calculate the minimum sample size which can
reduce the width of the confidence interval by half.
(9 marks)
(3 marks)
Individual Assignment Guide / BM3034 / Page 6
3.4 Hypothesis testing (25 marks)
Each learner must solve one (1) of the following two (2) hypothesis testing
cases listed below based on the instructions given.
•
For learners whose admission number ends with an odd number
(1,3,5,7,9), solve Case 1.
•
For learners whose admission number ends with an even number
(2,4,6,8,0), solve Case 2.
Case 1
According to a marketing personnel, the daily revenue target
of a new product set by management was $25,000 per day.
The marketing personnel convened a survey to measure the
daily revenue of the new product to determine if the average
actual revenue was below the target. If the average actual
revenue was below the target, more money will be spent on
marketing the new product. The data collected is shown in a
table in Appendix 1. Determine if the population mean daily
revenue of the product was below the target with a
hypothesis test at 1% level of significance. The data collected
is shown in Appendix 1
Case 2
A restaurant was evaluating if its customer service standard
needs to be enhanced. Management had determined that if
the average satisfaction score of its customers fell below 70
points, corrective actions would be undertaken. To measure
the satisfaction score of its customers, a survey was
commissioned. The data collected is shown in a table in
Appendix 1. Determine if the average satisfaction score of
its customers fell below 80 points with a hypothesis test at
5% significance level. The data collected is shown in
Appendix 1
The sample size taken for each learner is n=44-k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=44-1=43. Thus, you will select
the first n=43 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=44-20=24. Thus, you will select the
Individual Assignment Guide / BM3034 / Page 7
first n=24 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using
hypothesis testing methodology. Diagram is not needed in your answer.
Write down your answers with appropriate workings in your report. State
clearly the case that you are solving. Example: 3.4 Hypothesis Testing
Case 1 or 2.
4.
(a)
Copy the relevant sample data tabulated in appendix 1 and paste
them into MS Excel and perform descriptive statistics on the data
using MS Excel Data Analysis Tool Pak. Refer to the detailed
illustration and instructions on how to perform descriptive statistics
from the video lectures taught in class and in NYP LMS. Save the raw
data and the output of the descriptive statistics on the same worksheet
and submit them in the appendix section.
(2 marks)
(b)
State the values of the sample mean and sample standard deviation.
(2 marks)
(c)
Determine the conclusion for your case above using a hypothesis
test. Show all the calculations required.
(11 marks)
(d)
Describe type I and II errors.
(e)
Explain the consequences of committing type I and type II errors
respectively. Suggest how to adjust the significance level to minimise
type I and type II errors respectively.
(6 marks)
(4 marks)
Submissions
Report Format
• A written report of not more than 7 pages (excluding cover page and
appendices)
• Arial Font size 12 with single spacing must be submitted by each
individual learner.
• Please assign your file name for submission with the following format:
BM3034_Class_Name_Admin Number e.g.
BM3034_HA_Soh Eazi_1234567A
Your report should clearly label the following parts:
i)
Cover Page: Include a cover page with the assignment title (BM3034 ICA
3: Business Statistics Individual Assignment), name and admission
number of the learner.
Individual Assignment Guide / BM3034 / Page 8
ii)
Continuous Probability Distribution: Solutions for the case assigned to
you.
iii)
Sampling Distribution of the Sample Means: A reflection of not more
than 750 words (inclusive within the 7-page limit) on the topic that consists
of discussion and explanation for the areas required as mentioned above.
iv)
Statistical Estimation: Solutions for the case assigned to you.
v)
Hypothesis Testing: Solutions for the case assigned to you.
vi)
Appendix: providing the raw sample data of the statistical estimation and
hypothesis testing cases assigned and the output of the descriptive
statistics generated by the MS Excel Data Analysis Tool Pak.
Submission through Turnitin in NYP LMS and Due Date
The report is to be submitted through Turnitin latest by Monday,15 Aug
2022, 2359 hours. Turnitin is a cloud-based solution with capabilities in
originality checking using their OriginalityCheck tool. OriginalityCheck allows
your instructor to monitor assignment submissions and identify potential cases
of plagiarism by automatically comparing submissions to an online database of
original content. It is the responsibility of the learners to ensure that the matching
text highlighted in the Turnitin similarity report is properly referenced.
1.
Please read the following guide on how to submit your report in Politemall:
https://help.turnitin.com/feedback-studio/d2l/student/submitting-apaper/submitting-a-paper.htm
2.
Learners can also view the following video to learn how to submit your
report in Politemall:
Late submission and penalties
A penalty of 5% on the base marks to be deducted for each working day of late
submission from the respective assessment marks allocated should the report
be submitted late. Any late submission after 5 working days will be awarded zero
mark.
Plagiarism
Plagiarism is serious matter. Plagiarism is the act of taking and using the whole
or any part of ideas, words or works of other people and passing it off as one’s
Individual Assignment Guide / BM3034 / Page 9
own work, without acknowledgement of the original source. The act of
plagiarism is an offence under NYP Academic Integrity Policy:
https://www.nyp.edu.sg/current-students/academic-matters/nyp-academicintegrity.html. Any act of plagiarism may be construed as academic dishonesty.
A candidate who, after due disciplinary process, is found to have committed an
act that contravenes academic integrity in any assessment of a module would
be liable for disciplinary action under NYP Academic Integrity Policy.
It is also important not to share your or your team’s work with other learner(s) or
team(s). ALL parties involved in any act of plagiarism (including learner(s)
or team(s) who have shared their work with others) would be liable for
disciplinary action under NYP Academic Integrity Policy. If any learner had
asked you to share your work with him/her, it is important to turn down his/her
request and report the incident immediately to your module tutor to safeguard
your integrity.
All content from online or other primary sources should be properly referenced
(even if you are paraphrasing). Learners can use https://www.scribbr.com/apacitation-generator/ or other online citation generator to properly state the source
of the reference (websites, journal articles, books and reports) in the American
Psychological Association (APA) format. The APA format is a writing style and
format for academic documents such as scholarly journal articles and
books. When in doubt, the rule is to acknowledge the source.
A Turnitin Similarity Report generated provides detailed information about the
matches found between a learner’s submitted work and existing sources.
Learners can use the report to review their submissions for originality and identify
the specific areas of their submitted work where proper referencing are required.
Failing to do so may lead to plagiarism being reported in Turnitin.
5.
When an assignment is submitted using Turnitin, the Turnitin Similarity Report is
normally available within 15-30 minutes. However, a slight delay may occur
between the upload and the availability of the Similarity Report during periods of
high usage. Hence, learners are encouraged to submit their report at least one
day before the submission deadline so that they have sufficient time to make any
necessary amendment and resubmission before the submission deadline
expires.
Assessment
The assignment written report carries a total of 100 marks and constitutes 45%
of the overall grade for the module. The breakdown of marks is as follows:
The evaluation criteria for the written report is as follow:
Individual Assignment Guide / BM3034 / Page 10
Continuous Probability Distribution (25 marks)
i)
Correct solutions for the assigned case.
Sampling Distribution of the Sample Means (25 marks)
A coherent reflection of the topic that provides adequate discussion,
elaboration and explanation. The details of the rubrics are attached in
Appendix 2.
Statistical Estimation (25 marks)
i)
Correct solutions for the assigned case.
Hypothesis Testing (25 marks)
i)
Correct solutions for the assigned case.
Individual Assignment Guide / BM3034 / Page 11
Appendix 1
Sample data for statistical estimation and hypothesis testing questions.
Obtain the sample data from the MS Word document named “Appendix 1Sample data for statistical estimation and hypothesis testing questions” in the
NYP LMS.
Individual Assignment Guide / BM3034 / Page 12
Appendix 2-Scoring Rubric of Reflection
Evaluation Criteria
Concepts and
theorem(s) in the
topic and
appropriate
(minimum) sample
size chosen
(10 marks)
Exceed
Expectations
9-10 marks
Concepts and
theorem(s) are all
stated correctly.
Appropriate
(minimum) sample
size chosen is
correct.
Excellent
explanation and
elaboration
provided.
Benefits and costs
of a big sample size
(5 marks)
Meet
Expectations
7-8 marks
Approaching
Expectations
5-6 marks
Below
Expectations
3-4 marks
Inadequate
Concepts and
theorem(s) are
mostly stated
correctly.
Concepts and
theorem(s) are
stated with some
errors.
Concepts and
theorem(s) are
stated with a lot of
errors.
No concept or that
concepts and
theorem(s) are
stated wrongly.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
wrong.
Appropriate
(minimum) sample
size chosen is
wrong.
Good explanation
and elaboration
provided.
Average
explanation and
elaboration
provided.
Poor explanation
and elaboration
provided.
No/ wrong
explanation and
elaboration
provided.
1-2 marks
5 marks
4 marks
3 marks
2 marks
1 mark
Excellent
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Good explanation
and elaboration of
the benefits and
costs of having a
big sample size.
Average
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Poor explanation
and elaboration of
the benefits and
costs of having a
big sample size.
No/ wrong
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Individual Assignment Guide / BM3034 / Page 13
Decision made on
the sample size to
take with excellent
explanation.
Suggestions on
three measures to
obtain good
feedback from
respondents
(10 marks)
Decision made on
the sample size to
take with average
explanation.
Decision made on
the sample size to
take with poor
explanation.
No decision made
on the sample size
to take.
9-10 marks
Decision made on
the sample size to
take with good
explanation.
7-8 marks
5-6 marks
3-4 marks
1-2 marks
All three
suggestions
provided are valid
and innovative.
Most of the
suggestions
provided are valid
and innovative.
Some of the
suggestions
provided are valid
and innovative.
Some of the
suggestions are
invalid.
No suggestion
provided or that
suggestions are
invalid.
Excellent
elaboration on all
three suggestions
provided.
Good elaboration
on the suggestions
provided.
Average
elaboration on the
suggestions
provided.
Poor elaboration
on the suggestions
provided.
No elaboration on
the suggestions
provided.
.
END
Appendix 1-Sample data for statistical estimation and hypothesis testing
questions
Observation
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
Disinfection time
(minutes)
Price willing to
pay ($)
Daily revenue of
new product ($)
Customer satisfaction
score (points)
20
21
15
25
22
30
20
33
21
26
20
25
22
24
35
15
13
59
62
15
13
22
20
26
67
45
24
19
18
44
44
36
21
24
23
32
30
41
25
80
81
45
35
55
46
66
85
92
87
86
95
78
94
78
80
86
99
89
82
75
75
75
100
94
77
87
100
97
25
33
82
85
100
90
94
99
95
33
22843
22456
23147
24151
28027
27676
22778
24777
26910
20261
25221
20544
26378
22443
21002
15889
21889
20445
23530
22974
20826
28754
32336
26186
20355
12909
21880
15669
31795
20736
21282
26105
24115
25796
26019
26501
21094
23002
22089
73
64
55
70
85
67
72
45
64
65
45
71
69
71
69
56
68
67
65
79
80
33
81
75
47
45
89
70
87
76
73
45
61
65
81
79
33
61
72
Observation
Number
40
41
42
43
44
45
46
47
48
49
50
Disinfection time
(minutes)
Price willing to
pay ($)
Daily revenue of
new product ($)
Customer satisfaction
score (points)
50
22
23
34
11
68
30
45
72
57
54
85
83
82
122
98
33
33
45
25
90
75
29914
29448
25729
13782
22553
25375
29103
23643
22284
28719
29756
45
80
63
81
76
78
88
86
65
61
71
School of Business Management
2022/23 Semester 1
BM3034 Business Statistics
ICA 3
Individual Assignment Guide
Date of Issue: Monday, 4 Jul 2022 (through NYP LMS)
Date of Submission: Monday, 15 Aug 2022, 2359 hours (through NYP LMS)
Individual Assignment Guide / BM3034 / Page 2
1.
Assignment Outline
This individual assignment constitutes 45% of the overall assessment for the
module, BM3034 Business Statistics. The assignment covers topics on
continuous probability distribution, sampling distribution of the sample means,
statistical estimation and hypothesis testing. You will solve problems in the above
topics and submit a report on how you apply the statistical concepts to facilitate
your decision-making process when conducting a business survey research.
Learners will submit on an individual basis, a typewritten report in MS Word with
supporting appendices on the raw data and statistical output in MS Excel.
2.
Learning Outcomes
After the completion of this assignment, learners will be able to:
•
•
•
3.
Solve problems using concepts on the continuous probability distribution.
Select a representative sample when conducting business survey research
by applying theories of the sampling distribution of the sample means.
Perform inferential statistics on real-life data using statistical estimation and
hypothesis testing techniques.
Requirements
Please approach your tutor if you have any query about the instructions indicated
below:
3.1 Continuous Probability Distribution (25 marks)
Each learner must use one (1) of the following three (3) continuous
probability distribution cases listed below based on the instructions given.
•
For learners whose admission number ends with the numbers
“0,1,2,3” solve Case 1.
•
For learners whose admission number ends with the numbers
“4,5,6” solve Case 2.
•
For learners whose admission number ends with the numbers
“7,8,9” solve Case 3.
Case 1
According to the traffic statistics by LTA, the speed of
vehicles that travel along PIE is normally distributed with a
mean of 88 km/h and a standard deviation of 21 km/h.
Case 2
Based on a health care researcher of a hospital, the height
of female individuals aged 15-25 is normally distributed with
a mean of 159 cm and a standard deviation of 16 cm.
Individual Assignment Guide / BM3034 / Page 3
Case 3
According to a sport & wellness professional, the weight of
male individuals aged 35-45 is normally distributed with a
mean of 72 kg and a standard deviation of 19 kg.
Based on your case assigned, solve the following problems using
continuous probability distribution techniques. Diagram is not needed in
your answer. Write down your answers with appropriate workings in your
report. State clearly the case that you are solving. Example: 3.1
Continuous Probability Distribution Case 1, 2 or 3.
(a)
State the variance and how the normal curve will change when the
mean decreases and the standard deviation increases.
(3 marks)
(b)
Determine with appropriate calculations if you agree or disagree with
the statement that “95.44% of the population items lies within 2
standard deviations of the population mean.”
(4 marks)
(c)
Calculate the amount for the top and bottom kth percentage of the
population, where k is your register number in your class register.
Show all the steps required.
(12 marks)
(d)
Calculate the probability that an individual in the population (X) is
more than 4 standard deviations bigger than the population mean.
Explain if it is possible to find such an individual in the population with
reference to your case scenario.
(6 marks)
3.2 Sampling Distribution of the Sample Means (25 marks)
A survey research is a tool used by businesses to obtain feedback from
their customers, suppliers or employees. One of the requirements to obtain
good feedback from their respondents when conducting a survey is to
select a representative sample for the survey.
For this assignment, you are the business personnel who is conducting a
survey for your company to obtain an estimate on the population mean.
Write a 750-word reflection on how the concepts and theorem(s) taught in
the topic “Sampling Distribution of the Sample Means” can facilitate your
decision-making process in conducting the business survey research, such
as choosing an appropriate sample size for the survey as well as other
considerations, costs and benefits.
Your reflection should provide discussion and explanation for the following
areas:
Individual Assignment Guide / BM3034 / Page 4
(a)
How do the concepts and theorem(s) in the topic “Sampling
Distribution of the Sample Means” influence your decision in choosing
an appropriate (or minimum) sample size for the survey? (10 marks)
(b)
Is a bigger sample better for the survey? Discuss the benefits of
having a bigger sample for the survey with reference to the standard
error. Any possible costs associated with a bigger sample selected?
How do you decide on the sample size for your survey?
(5 marks)
(c)
Besides the knowledge gained in the topic, suggest any three (3)
measures that you can undertake to obtain good feedback from your
respondents when conducting the survey. Be as innovative as
possible and provide reasons and elaborations to support your
suggestions.
(10 marks)
3.3 Statistical Estimation (25 marks)
Each learner must use one (1) of the following two (2) statistical estimation
cases listed below based on the instructions given.
•
For learners whose admission number ends with letters “A” to
“O”, solve Case 1.
•
For learners whose admission number ends with letters “P” to “Z”,
solve Case 2.
Case 1
Covid19 has highlighted the importance of strict hygiene and
more frequent cleaning and disinfection of hotel
accommodation. A hotel is keen to automate the disinfection
process and is evaluating a new cleaning and disinfection
robot for a month. Currently it takes the housekeeping staff
an average of 65 minutes to disinfect a room. The hotel
management aims to reduce the average disinfection time by
half. If the upper confidence limit of the interval estimate on
the population mean disinfection time by the robot does not
meet the target, the robot will not be purchased, vice versa.
A random sample of hotel rooms cleaned by the robot was
selected and the disinfection time was recorded during the
trial month. The data collected is shown in Appendix 1.
Individual Assignment Guide / BM3034 / Page 5
Case 2
A new Italian restaurant wanted to determine the price that it
should charge for its new signature dish, FB Risotto. The
restaurant intended to price the dish at more than $85 and
was concerned about the impact of price on the popularity of
the new dish. To determine the optimum price to charge, a
random sample of potential customers was surveyed on the
price they would be willing to pay for the dish. If the upper
confidence limit of the interval estimate on the population
mean price is above $85, the manager would price the dish
accordingly, vice versa. The data collected is shown in
Appendix 1.
The sample size taken for each learner is n=15+k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=15+1=16. Thus, you will select
the first n=16 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=15+20=35. Thus, you will select the
first n=35 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using statistical
estimation techniques. Diagram is not needed in your answer. Write down
your answers with appropriate workings in your report. State clearly the
case that you are solving. Example: 3.3 Statistical Estimation Case 1 or
2
(a)
Copy the sample data tabulated in appendix 1 and paste them into
MS Excel and perform descriptive statistics on the data using MS
Excel Data Analysis Tool Pak. Refer to the detailed illustration and
instructions on how to perform descriptive statistics from the video
lectures taught in class and in NYP LMS. Save the raw data and the
output of the descriptive statistics on the same worksheet and submit
them in the appendix section.
(2 marks)
(b)
State the point estimates for the population mean and standard
deviation.
(2 marks)
(c)
Calculate the 95% confidence interval for the population mean. Show
all the required calculations.
(9 marks)
(d)
Determine the decision for your case above.
(e)
Suggest how to improve the reliability and precision of the confidence
interval calculated. Calculate the minimum sample size which can
reduce the width of the confidence interval by half.
(9 marks)
(3 marks)
Individual Assignment Guide / BM3034 / Page 6
3.4 Hypothesis testing (25 marks)
Each learner must solve one (1) of the following two (2) hypothesis testing
cases listed below based on the instructions given.
•
For learners whose admission number ends with an odd number
(1,3,5,7,9), solve Case 1.
•
For learners whose admission number ends with an even number
(2,4,6,8,0), solve Case 2.
Case 1
According to a marketing personnel, the daily revenue target
of a new product set by management was $25,000 per day.
The marketing personnel convened a survey to measure the
daily revenue of the new product to determine if the average
actual revenue was below the target. If the average actual
revenue was below the target, more money will be spent on
marketing the new product. The data collected is shown in a
table in Appendix 1. Determine if the population mean daily
revenue of the product was below the target with a
hypothesis test at 1% level of significance. The data collected
is shown in Appendix 1
Case 2
A restaurant was evaluating if its customer service standard
needs to be enhanced. Management had determined that if
the average satisfaction score of its customers fell below 70
80 points, corrective actions would be undertaken. To
measure the satisfaction score of its customers, a survey
was commissioned. The data collected is shown in a table in
Appendix 1. Determine if the average satisfaction score of
its customers fell below 80 points with a hypothesis test at
5% significance level. The data collected is shown in
Appendix 1
The sample size taken for each learner is n=44-k, where k is your register
number in your class register. For example, if your class register number
is 1, the sample size that you will select is n=44-1=43. Thus, you will select
the first n=43 from the relevant sample data in Appendix 1 and perform the
appropriate calculations. Likewise, if your class register number is 20, the
sample size that you will select is n=44-20=24. Thus, you will select the
Individual Assignment Guide / BM3034 / Page 7
first n=24 from the relevant sample data in Appendix 1 and perform the
appropriate calculations.
Based on your case assigned, solve the following problems using
hypothesis testing methodology. Diagram is not needed in your answer.
Write down your answers with appropriate workings in your report. State
clearly the case that you are solving. Example: 3.4 Hypothesis Testing
Case 1 or 2.
4.
(a)
Copy the relevant sample data tabulated in appendix 1 and paste
them into MS Excel and perform descriptive statistics on the data
using MS Excel Data Analysis Tool Pak. Refer to the detailed
illustration and instructions on how to perform descriptive statistics
from the video lectures taught in class and in NYP LMS. Save the raw
data and the output of the descriptive statistics on the same worksheet
and submit them in the appendix section.
(2 marks)
(b)
State the values of the sample mean and sample standard deviation.
(2 marks)
(c)
Determine the conclusion for your case above using a hypothesis
test. Show all the calculations required.
(11 marks)
(d)
Describe type I and II errors.
(e)
Explain the consequences of committing type I and type II errors
respectively. Suggest how to adjust the significance level to minimise
type I and type II errors respectively.
(6 marks)
(4 marks)
Submissions
Report Format
• A written report of not more than 7 pages (excluding cover page and
appendices)
• Arial Font size 12 with single spacing must be submitted by each
individual learner.
• Please assign your file name for submission with the following format:
BM3034_Class_Name_Admin Number e.g.
BM3034_HA_Soh Eazi_1234567A
Your report should clearly label the following parts:
i)
Cover Page: Include a cover page with the assignment title (BM3034 ICA
3: Business Statistics Individual Assignment), name and admission
number of the learner.
Individual Assignment Guide / BM3034 / Page 8
ii)
Continuous Probability Distribution: Solutions for the case assigned to
you.
iii)
Sampling Distribution of the Sample Means: A reflection of not more
than 750 words (inclusive within the 7-page limit) on the topic that consists
of discussion and explanation for the areas required as mentioned above.
iv)
Statistical Estimation: Solutions for the case assigned to you.
v)
Hypothesis Testing: Solutions for the case assigned to you.
vi)
Appendix: providing the raw sample data of the statistical estimation and
hypothesis testing cases assigned and the output of the descriptive
statistics generated by the MS Excel Data Analysis Tool Pak.
Submission through Turnitin in NYP LMS and Due Date
The report is to be submitted through Turnitin latest by Monday,15 Aug
2022, 2359 hours. Turnitin is a cloud-based solution with capabilities in
originality checking using their OriginalityCheck tool. OriginalityCheck allows
your instructor to monitor assignment submissions and identify potential cases
of plagiarism by automatically comparing submissions to an online database of
original content. It is the responsibility of the learners to ensure that the matching
text highlighted in the Turnitin similarity report is properly referenced.
1.
Please read the following guide on how to submit your report in Politemall:
https://help.turnitin.com/feedback-studio/d2l/student/submitting-apaper/submitting-a-paper.htm
2.
Learners can also view the following video to learn how to submit your
report in Politemall:
Late submission and penalties
A penalty of 5% on the base marks to be deducted for each working day of late
submission from the respective assessment marks allocated should the report
be submitted late. Any late submission after 5 working days will be awarded zero
mark.
Plagiarism
Plagiarism is serious matter. Plagiarism is the act of taking and using the whole
or any part of ideas, words or works of other people and passing it off as one’s
Individual Assignment Guide / BM3034 / Page 9
own work, without acknowledgement of the original source. The act of
plagiarism is an offence under NYP Academic Integrity Policy:
https://www.nyp.edu.sg/current-students/academic-matters/nyp-academicintegrity.html. Any act of plagiarism may be construed as academic dishonesty.
A candidate who, after due disciplinary process, is found to have committed an
act that contravenes academic integrity in any assessment of a module would
be liable for disciplinary action under NYP Academic Integrity Policy.
It is also important not to share your or your team’s work with other learner(s) or
team(s). ALL parties involved in any act of plagiarism (including learner(s)
or team(s) who have shared their work with others) would be liable for
disciplinary action under NYP Academic Integrity Policy. If any learner had
asked you to share your work with him/her, it is important to turn down his/her
request and report the incident immediately to your module tutor to safeguard
your integrity.
All content from online or other primary sources should be properly referenced
(even if you are paraphrasing). Learners can use https://www.scribbr.com/apacitation-generator/ or other online citation generator to properly state the source
of the reference (websites, journal articles, books and reports) in the American
Psychological Association (APA) format. The APA format is a writing style and
format for academic documents such as scholarly journal articles and
books. When in doubt, the rule is to acknowledge the source.
A Turnitin Similarity Report generated provides detailed information about the
matches found between a learner’s submitted work and existing sources.
Learners can use the report to review their submissions for originality and identify
the specific areas of their submitted work where proper referencing are required.
Failing to do so may lead to plagiarism being reported in Turnitin.
5.
When an assignment is submitted using Turnitin, the Turnitin Similarity Report is
normally available within 15-30 minutes. However, a slight delay may occur
between the upload and the availability of the Similarity Report during periods of
high usage. Hence, learners are encouraged to submit their report at least one
day before the submission deadline so that they have sufficient time to make any
necessary amendment and resubmission before the submission deadline
expires.
Assessment
The assignment written report carries a total of 100 marks and constitutes 45%
of the overall grade for the module. The breakdown of marks is as follows:
The evaluation criteria for the written report is as follow:
Individual Assignment Guide / BM3034 / Page 10
Continuous Probability Distribution (25 marks)
i)
Correct solutions for the assigned case.
Sampling Distribution of the Sample Means (25 marks)
A coherent reflection of the topic that provides adequate discussion,
elaboration and explanation. The details of the rubrics are attached in
Appendix 2.
Statistical Estimation (25 marks)
i)
Correct solutions for the assigned case.
Hypothesis Testing (25 marks)
i)
Correct solutions for the assigned case.
Individual Assignment Guide / BM3034 / Page 11
Appendix 1
Sample data for statistical estimation and hypothesis testing questions.
Obtain the sample data from the MS Word document named “Appendix 1Sample data for statistical estimation and hypothesis testing questions” in the
NYP LMS.
Individual Assignment Guide / BM3034 / Page 12
Appendix 2-Scoring Rubric of Reflection
Evaluation Criteria
Concepts and
theorem(s) in the
topic and
appropriate
(minimum) sample
size chosen
(10 marks)
Exceed
Expectations
9-10 marks
Concepts and
theorem(s) are all
stated correctly.
Appropriate
(minimum) sample
size chosen is
correct.
Excellent
explanation and
elaboration
provided.
Benefits and costs
of a big sample size
(5 marks)
Meet
Expectations
7-8 marks
Approaching
Expectations
5-6 marks
Below
Expectations
3-4 marks
Inadequate
Concepts and
theorem(s) are
mostly stated
correctly.
Concepts and
theorem(s) are
stated with some
errors.
Concepts and
theorem(s) are
stated with a lot of
errors.
No concept or that
concepts and
theorem(s) are
stated wrongly.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
correct.
Appropriate
(minimum) sample
size chosen is
wrong.
Appropriate
(minimum) sample
size chosen is
wrong.
Good explanation
and elaboration
provided.
Average
explanation and
elaboration
provided.
Poor explanation
and elaboration
provided.
No/ wrong
explanation and
elaboration
provided.
1-2 marks
5 marks
4 marks
3 marks
2 marks
1 mark
Excellent
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Good explanation
and elaboration of
the benefits and
costs of having a
big sample size.
Average
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Poor explanation
and elaboration of
the benefits and
costs of having a
big sample size.
No/ wrong
explanation and
elaboration of the
benefits and costs
of having a big
sample size.
Individual Assignment Guide / BM3034 / Page 13
Decision made on
the sample size to
take with excellent
explanation.
Suggestions on
three measures to
obtain good
feedback from
respondents
Decision made on
the sample size to
take with average
explanation.
Decision made on
the sample size to
take with poor
explanation.
No decision made
on the sample size
to take.
9-10 marks
Decision made on
the sample size to
take with good
explanation.
7-8 marks
5-6 marks
3-4 marks
1-2 marks
All three
suggestions
provided are valid
and innovative.
Most of the
suggestions
provided are valid
and innovative.
Some of the
suggestions
provided are valid
and innovative.
Some of the
suggestions are
invalid.
No suggestion
provided or that
suggestions are
invalid.
Excellent
elaboration on all
three suggestions
provided.
Good elaboration
on the suggestions
provided.
Average
elaboration on the
suggestions
provided.
Poor elaboration
on the suggestions
provided.
No elaboration on
the suggestions
provided.
.
(10 marks)
END
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