Expert answer:One Sample Hypothesis Testing Cases
Expert answer:Purpose of Assignment The purpose of this assignment is to develop students’ abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this assignment, students will learn how statistical analysis is used in predicting an election winner in the first case. In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be profitable. Assignment Steps Resources: Microsoft Excel®, Case Study Scenarios, SpeedX Payment Times Develop a 700- to 1,050-word statistical analysis based on the Case Study Scenarios and SpeedX Payment Times. Include answers to the following: Case 1: Election Results
Use 0.10 as the significance level (α).
Conduct a one-sample hypothesis test to determine if the networks should announce at 8:01 P.M. the Republican candidate George W. Bush will win the state.
Case 2: SpeedX
Use 0.10 and the significance level (α).
Conduct a one-sample hypothesis test and determine if you can convince the CFO to conclude the plan will be profitable.
Format your assignment consistent with APA format. Click the Assignment Files tab to submit your assignment.TEAM WORK ASSIGNMENT – Spicy Wings CasePurpose of Assignment The purpose of this assignment is to develop students’ abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this assignment, students will develop the ability to use statistical analysis and verify whether or not a claim is valid before advertising it. Assignment Steps Resources: Microsoft Excel®, Spicy Wings Case Study, Spicy Wings Data Set Develop a 150-word statistical analysis. – What percent of the Saturday deliveries will result in a customer receiving a free order.
sample_hypothesis_testing_cases_grading_guide_week5.doc
qnt561_r9_case_study_scenarios_week_5.doc
speedx_payment.xlsx
spicy_wings_case_study_week_5.doc
spicy_wing_data_set.xlsx
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One-Sample Hypothesis Testing Cases
Grading Guide
QNT/561 Version 9
Applied Business Research and Statistics
Copyright
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One-Sample Hypothesis Testing
Cases Grading Guide
QNT/561 Version 9
Edited in accordance with University of Phoenix® editorial standards and practices.
2
One-Sample Hypothesis Testing
Cases Grading Guide
QNT/561 Version 9
Individual Assignment: One-Sample Hypothesis Testing Cases
Purpose of Assignment
The purpose of this assignment is to develop students’ abilities to combine the knowledge of descriptive
statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this
assignment, students will learn how statistical analysis is used in predicting an election winner in the first case.
In the second case, students will conduct a hypothesis test to decide whether or not a shipping plan will be
profitable.
Resources Required
•
•
•
Microsoft Excel®
Case Study Scenarios
SpeedX Payment Times
Grading Guide
Content
Met
Partially
Met
Not Met
Total
Available
Total
Earned
3
#/3
Develop a 700- to 1,050-word statistical
analysis based on the Case Study Scenarios
and SpeedX Payment Times.
Include answers to the following:
Case 1: Election Results
•
•
Use 0.10 as the significance level (α).
Conduct a one-sample hypothesis test to
determine if the networks should
announce at 8:01 P.M. the Republican
candidate George W. Bush will win the
state.
Case 2: SpeedX
•
•
Use 0.10 and the significance level (α).
Conduct a one-sample hypothesis test
and determine if you can convince the
CFO to conclude the plan will be
profitable.
Comments:
3
One-Sample Hypothesis Testing
Cases Grading Guide
QNT/561 Version 9
Writing Guidelines
Met
Partially
Met
Not Met
Total
Available
Total
Earned
2
#/2
5
#/5
The paper—including tables and graphs,
headings, title page, and reference page—is
consistent with APA formatting guidelines and
meets course-level requirements.
Intellectual property is recognized with in-text
citations and a reference page.
Paragraph and sentence transitions are
present, logical, and maintain the flow
throughout the paper.
Sentences are complete, clear, and concise.
Rules of grammar and usage are followed
including spelling and punctuation.
Assignment Total
Additional comments:
#
Comments:
4
Case Study – Election Results and SppedX
QNT/561 Version 9
University of Phoenix Material
Case Study – Election Results
When an election for political office takes place, the television networks cancel regular programming and
instead, provide election coverage. When the ballots are counted, the results are reported. However, for
important offices such as president or senator in large states, the networks actively compete to see which
will be the first to predict a winner. This is done through exit polls, wherein a random sample of voters
who exit the polling booth is asked for whom they voted. From the data, the sample proportion of voters
supporting the candidates is computed. Hypothesis testing is applied to determine whether there is
enough evidence to infer the leading candidate will garner enough votes to win.
Suppose in the exit poll from the state of Florida during the 2000 year elections, the pollsters recorded
only the votes of the two candidates who had any chance of winning: Democrat Al Gore and Republican
George W. Bush. In a sample of 765 voters, the number of votes cast for Al Gore was 358 and the
number of votes cast for George W. Bush was 407. The network predicts the candidate as a winner if he
wins more than 50% of the votes. The polls close at 8:00 P.M. Based on the sample results, conduct a
one-sample hypothesis test to determine if the networks should announce at 8:01 P.M. the Republican
candidate George W. Bush will win the state. Use 0.10 as the significance level (α).
Case Study – SpeedX
SpeedX, a large courier company, sends invoices to customers requesting payment within 30 days. The
bill lists an address, and customers are expected to use their own envelopes to return their payments.
Currently, the mean and standard deviation of the amount of time taken to pay bills are 24 days and 6
days, respectively. The chief financial officer (CFO) believes including a stamped self-addressed
envelope would decrease the amount of time. She calculates the improved cash flow from a 2-day
decrease in the payment period would pay for the costs of the envelopes and stamps. You have an MBA
from the University of Phoenix, and work for SpeedX as a business analyst. One of your job duties is to
run analytics and present the results to the senior management for critical decision-making. You see this
as an opportunity to utilize some of the skills you gained in the Statistics course. Because of your strong
understanding and background in inferential statistics, you decide to take up this important assignment.
You have learned any analysis in inferential statistics starts with sampling. To test the CFO’s belief, you
decide to randomly select 220 customers and propose to include a stamped self-addressed envelope with
their invoices. The CFO accepts your proposal and allows you to run a pilot study. You then record the
numbers of days until payment is received. Using your statistical expertise and skills you gained in the
class, conduct a one-sample hypothesis test and determine if you can convince the CFO to conclude that
the plan will be profitable. Use 0.10 and the significance level (α).
Copyright © 2017 by University of Phoenix. All rights reserved.
1
Payment
27
24
14
39
13
31
26
33
13
23
17
24
18
34
13
23
16
32
30
29
21
19
22
14
27
20
11
20
30
24
18
21
24
18
27
27
27
21
22
23
18
17
23
26
20
20
22
21
13
36
18
25
26
19
16
28
16
20
16
14
25
14
35
17
16
19
19
17
18
22
23
22
27
23
23
21
20
18
29
32
27
15
21
26
32
20
29
25
15
21
30
24
23
14
18
22
37
24
35
29
24
17
27
15
19
12
19
21
19
21
15
17
20
21
31
19
27
19
26
26
26
23
12
20
34
21
24
20
21
16
23
13
19
18
31
29
23
28
19
19
22
24
21
23
14
25
17
22
21
18
22
15
27
14
23
25
24
24
17
16
30
24
17
27
24
17
10
25
15
13
29
21
22
11
25
30
23
18
19
18
14
21
22
17
19
23
31
26
25
15
16
28
27
22
12
25
12
21
19
26
16
21
30
16
25
13
11
13
22
28
14
21
30
19
14
31
9
14
21
28
Case Study – Spicy Wings Case Study
QNT/561 Version 9
University of Phoenix Material
Case Study – Spicy Wings Case Study
Following his graduation from the MBA program at the University of Phoenix, John Tyler wanted to live
and work in the little town of Hood. However, the community was small and there were not a lot of readily
available opportunities for college graduates. Fortunately, John had some experience working in the food
service industry gained in summers and throughout high school at his uncle’s restaurant in Franklin, a few
miles away from the town of Hood. When John decided to leverage his experience into a small delivery
and take-out restaurant located close to his home, he thought he had hit on a great idea. John would offer
a limited fare consisting of the buffalo wings his uncle had perfected at his restaurant. John called his
restaurant, Spicy Wings. Although success came slowly, the uniqueness of John’s offering coupled with
the growth of the community made Spicy Wings a success.
John’s business was pretty simple. John purchased wings locally. The wings were then seasoned and
prepared in John’s restaurant. Once an order was received, John cooked the wings, which were then
delivered or picked up by the customer. John’s establishment was small, and there was no place for
customers to dine in the restaurant. However, his wings proved so popular that over time, John hired
several employees, including three delivery drivers. Business was steady and predictable during the
week, with the biggest days being home-game football Saturdays.
A little over a year ago, the little town of Hood began to grow and expand. John noticed his business was
beginning to suffer when other fast-food delivery restaurants opened around the town. Some of these
restaurants were offering guarantees such as “30 minutes or it’s free.” John’s Spicy Wings now had to
compete with fish tacos, specialty pizzas, and gourmet burgers. Most of these new restaurants, however,
were dine-in establishments providing carry-out and delivery as a customer convenience. However, John
was certain he would need to offer a delivery guarantee to remain competitive with the newer
establishments.
John was certain a delivery guarantee of “30 minutes or it’s free” could easily be accomplished every day
except on football Saturdays. John thought if he could offer a 30-minute guarantee on his busiest day, he
would be able to hold onto and perhaps even recover market share from the competition. However,
before he was willing to commit to such a guarantee, John wanted to ensure that it was possible to meet
the 30-minute promise.
John knew it would be no problem for customers to pick up orders within 30 minutes of phoning them in.
However, he was less confident about delivering orders to customers in 30 minutes or less. Not only
would the wings need to be cooked and packaged, but the delivery time might be affected by the
availability of drivers. John decided he needed to analyze the opportunity further.
As a part of his analysis, John decided to take a random sample of deliveries over five different football
weekends. Cooking time and packaging time were not considered in his analysis because wings were not
cooked for individual orders. Rather, large numbers of wings were cooked at a single time and then
packaged in boxes of 12. John decided to focus his analysis on the time required to deliver cooked and
packaged wings. He collected information on the amount of time an order had to wait for a driver (the
pick-up time), as well as the amount of time required to transport the wings to the customer (the drive
time). The sampled information is in the Excel® file, Spicy Wings Data Set. John is not willing to offer the
guarantee on football Saturdays, unless he can be reasonably sure the total time to deliver a customer’s
order is less than 30 minutes, on average. John would also like to have an estimate of the actual time
required to deliver a customer’s order on football Saturdays. Finally, John would like to know how likely it
is the total time to make a delivery would take more than 30 minutes. Based on the sampled data, should
John offer the guarantee? What percent of the Saturday deliveries would result in a customer receiving a
free order? What recommendations might help John improve his Saturday delivery times?
Copyright © 2017 by University of Phoenix. All rights reserved.
1
Pick-up Time
4,94
0
4,98
5,03
4,15
4,67
5,01
3,88
2,8
2,71
2,79
4,73
5,2
4,18
5,57
2,73
4,4
0
3,41
4,16
3,6
5,45
0
3,96
4,54
0
4,21
3,22
0
5,55
6,35
5,14
6,11
3,95
4,54
2,23
4,99
4,83
5,03
3,56
5,15
5,69
3,59
3,39
2,77
Drive Time Total Time
26,96
31,9
21,73
21,73
19,74
24,72
20,08
25,11
19,04
23,19
16,17
20,84
14,93
19,94
23,92
27,8
17,15
19,95
20,97
23,68
25,83
28,62
15,41
20,14
15,53
20,73
17,02
21,2
23,2
28,77
18,19
20,92
20,94
25,34
17,46
17,46
16,33
19,74
22,54
26,7
23,52
27,12
3,3
8,75
22,87
22,87
18,31
22,27
24,82
29,36
13,22
13,22
19,64
23,85
14,11
17,33
23,69
23,69
15,04
20,59
21,59
27,94
10,81
15,95
20,46
26,57
15,56
19,51
22,54
27,08
25,29
27,52
22,81
27,8
23,45
28,28
21,01
26,04
21,94
25,5
24,63
29,78
24,13
29,82
15,52
19,11
28,15
31,54
22
24,77
Column A, Pick-up Time, is the amount of time (in
minutes) a packaged order had to wait to be picke
up by a delivery driver.
Column B, Drive Time, is the amount of time (in
minutes) required to deliver the packaged order t
the customer after it has been picked up by the
driver.
Column C, Total Time, is the total amount of time
Pick-upTime + Drive Time.
0
4,25
3,97
3,1
4,13
3,81
0
3,95
5,97
4,1
4,21
3,83
3,93
4,74
0
5,61
3,8
4,46
3,7
6,06
4,83
3,16
2,5
5,63
4,41
5,26
0
3,26
5,12
5,07
0
4,14
4,75
3,67
3,02
3,47
3,3
2,77
3,2
0
0
6,27
6,4
4,67
3,41
0
4,25
15,34
20,36
13,7
21,92
22,73
16,73
21,96
16,91
22,25
18,49
14,76
24,01
8,64
20,57
17,59
20,93
17
23,17
13,58
14
17,44
21,92
20,87
7,43
13,93
20,01
19,71
19,72
17,72
19,5
16,47
18,78
15,99
24,15
24,52
18,5
18,96
17,92
11,21
22,32
15,2
17,14
16,06
24,99
12,83
20,75
19,33
15,34
24,61
17,67
25,02
26,86
20,54
21,96
20,86
28,22
22,59
18,97
27,84
12,57
25,31
17,59
26,54
20,8
27,63
17,28
20,06
22,27
25,08
23,37
13,06
18,34
25,27
19,71
22,98
22,84
24,57
16,47
22,92
20,74
27,82
27,54
21,97
22,26
20,69
14,41
22,32
15,2
23,41
22,46
29,66
16,24
20,75
23,58
4,61
4,41
5,31
2,76
4,64
4,31
4,39
0
4,93
5,14
0
6,36
2,99
3,11
3,52
2,97
2,62
5,59
5,08
4,02
0
4,93
0
0
6,44
5,01
4,41
7,63
0
5,53
4,87
0
0
3,83
5,63
0
0
4,7
0
3,68
5,36
0
0
5,59
5,93
2,86
3,6
17,87
18,95
23,54
15,15
23,23
21,95
22,47
11,58
20,03
13,06
17,48
19,89
17,26
14,13
21,42
24,67
26,47
21,36
21,29
17,99
25,58
14,15
16,34
12,29
21,97
24,75
13,92
19,18
17,15
11,83
21,49
10,82
18,62
8,91
23,38
17,37
8,9
12,29
27,79
18,96
21,22
19,49
19,52
21,25
16,09
19,37
17,12
22,48
23,36
28,85
17,91
27,87
26,26
26,86
11,58
24,96
18,2
17,48
26,25
20,25
17,24
24,94
27,64
29,09
26,95
26,37
22,01
25,58
19,08
16,34
12,29
28,41
29,76
18,33
26,81
17,15
17,36
26,36
10,82
18,62
12,74
29,01
17,37
8,9
16,99
27,79
22,64
26,58
19,49
19,52
26,84
22,02
22,23
20,72
6,19
2,51
0
3,72
6,15
3,45
4,43
0
4,27
5,34
3,31
4,49
3,02
2,64
0
0
2,5
3,66
4,11
5,03
4,57
4,76
3,95
4,04
5,4
2,91
0
2,4
3,09
6,13
4,64
7,14
5,57
2,82
5,9
4,77
6,44
3,37
3,82
4,69
0
3,02
4,64
0
4,45
4,42
4,46
19,02
15,97
21,74
22,34
21,16
22,01
22,36
22,97
15
24,78
9,4
15,24
21,07
20,98
19,67
22,96
18,82
15,54
18,02
17,2
26,12
12,22
23,28
25,02
16,38
16,71
9,75
21,67
16,68
25,22
17,55
15,86
17,02
25,08
17,57
18,85
17,13
21,08
19,51
26,74
18,48
20,32
26,25
19,1
21,83
22,12
22,43
25,21
18,48
21,74
26,06
27,31
25,46
26,79
22,97
19,27
30,12
12,71
19,73
24,09
23,62
19,67
22,96
21,32
19,2
22,13
22,23
30,69
16,98
27,23
29,06
21,78
19,62
9,75
24,07
19,77
31,35
22,19
23
22,59
27,9
23,47
23,62
23,57
24,45
23,33
31,43
18,48
23,34
30,89
19,1
26,28
26,54
26,89
4,37
3,91
5,76
0
0
2,82
5,92
4,94
5,87
4,07
7,22
5,24
0
3,71
21,01
12,04
13,02
11,39
19,78
17,14
19,84
19,92
19,49
22,32
16,59
15,48
10,6
18,4
25,38
15,95
18,78
11,39
19,78
19,96
25,76
24,86
25,36
26,39
23,81
20,72
10,6
22,11
e, is the amount of time (in
rder had to wait to be picked
is the amount of time (in
eliver the packaged order to
as been picked up by the
is the total amount of time.
…
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