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MGSC2207 ASSIGNMENT #4 QUESTIONS 30 March 2020
due 11:00am
Section (circle) A B C D E
Name (print) ______________________________________
Student # ______________________________________
Signature ______________________________________
Instructions: In the space provided, answer each question (by typing or writing). Hand-in this
assignment electronically with your answers written into the allotted space. I will be getting drop
boxes set up for each class on Brightspace. Submit your completed assignment answers in the
appropriate drop box. I shall let you know when they are created. Do NOT send your
assignment answers directly to me!
Total marks = 75
Note: Please show all rough work and not just the final answer. Ensure that your answer clearly
explains your numerical answer in clear, simple, non-technical language.
1. A senior partner in a brokerage firm wishes to determine whether there is really any
difference in long-run performance of different categories of people hired by the firm as
customer reps. The junior members of the firm can be classified into four groups:
professionals who have changed careers, recent business school grads, former salespeople,
and brokers hired from competing firms. To answer his question, you randomly sampled
six individuals in each of these groups, and a detailed performance score was obtained (a
higher value represents better performance). This is a composite measure of overall worth
or value to the company based on many factors.
Professionals
Bus. Grads
Salespeople
Brokers
88
65
61
83
85
73
67
87
95
54
74
90
96
72
65
84
91
81
68
92
88
69
77
94

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(a) At the .05 level of significance, is there evidence of a significant difference in average
performance for the four types of customer reps? Use the classical approach. Use
Excel to answer part (a). Attach your Excel analysis printout to your assignment
answers. 10 marks
1. Hyps: H
0
: 𝜇
𝑝𝑟𝑜𝑓𝑒𝑠𝑠𝑖𝑜𝑛𝑎𝑙𝑠
= 𝜇
𝑏𝑢𝑠.𝑔𝑟𝑎𝑑𝑠
= 𝜇
𝑆𝑎𝑙𝑒𝑠𝑝𝑒𝑜𝑝𝑙𝑒
= 𝜇
𝐵𝑟𝑜𝑘𝑒𝑟𝑠
H
1
: the means for at least 1 pair of the different job categories are significantly different.
2. Test: dependent-groups F-test (or dependent-groups ANOVA)
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Column 1
6
543
90.5
18.7
Column 2
6
414
69
82
Column 3
6
412
68.6666667
34.6666667
Column 4
6
530
88.3333333
19.4666667
ANOVA
Source of
Variation
SS
df
MS
F
F crit
Between Groups
2556.45833
3
852.152778
22.0147112
3.09839121
Within Groups
774.166667
20
38.7083333
Total
3330.625
23
3. Decision Rule:
Job Type effect: = 5% F
critical
(3,15) = 3.098 for the job type effect
4. Analysis:

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Job Type effect: = 5% F
job type
(3,15) = 22.015 for job type effect
Note that F
Job type
> F
critical
so reject H
0
.
5. Conclusion:
(1) Reject H
0
.
(2) There is sufficient evidence that long run performance differs on average from one job category
to another. To answer the question of which Job categories were significantly different in long run
performance from which other job categories would require conducting a multiple comparison test.
(3) P(Type I error) = = 5%

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1 MGSC2207 ASSIGNMENT #4 QUESTIONS Section (circle) A B C 30 March 2020 due 11:00am D E Name (print) ______________________________________ Student # Signature ______________________________________ ______________________________________ Instructions: In the space provided, answer each question (by typing or writing). Hand-in this assignment electronically with your answers written into the allotted space. I will be getting drop boxes set up for each class on Brightspace. Submit your completed assignment answers in the appropriate drop box. I shall let you know when they are created. Do NOT send your assignment answers directly to me! Total marks = 75 Note: Please show all rough work and not just the final answer. Ensure that your answer clearly explains your numerical answer in clear, simple, non-technical language. 1. A senior partner in a brokerage firm wishes to determine whether there is really any difference in long-run performance of different categories of people hired by the firm as customer reps. The junior members of the firm can be classified into four groups: professionals who have changed careers, recent business school grads, former salespeople, and brokers hired from competing firms. To answer his question, you randomly sampled six individuals in each of these groups, and a detailed performance score was obtained (a higher value represents better performance). This is a composite measure of overall worth or value to the company based on many factors ...
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