Exercise 1 Fortitude Insurance sells extended car warranties over the phone. They call people using random dialing. When recipients of the phone call press one on their phone, they are transferred to a sales agent. Sales agents are paid on commission. Management is concerned about the rapid turn-over of sales agents. They have decided to test a more lucrative commission plan. You have been hired to conduct this test. The research question: Does the new commission plan help sales agents increase their weekly sales commission? The significance level will be set at 5%. Step 1: Test Set-Up Question 1: How large a sample is needed to achieve 80% statistical power? Based on past research Cohen's d effect size is estimated at 0.40, which is a small effect. See the table below:

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Publisher:Ron Larson
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Exercise 1
Fortitude Insurance sells extended car warranties over the
phone. They call people using random dialing. When recipients
of the phone call press one on their phone, they are transferred
to a sales agent. Sales agents are paid on commission.
Management is concerned about the rapid turn-over of sales
agents. They have decided to test a more lucrative commission
plan. You have been hired to conduct this test. The research
question: Does the new commission plan help sales agents
increase their weekly sales commission? The significance
level will be set at 5%.
Step 1: Test Set-Up
Question 1: How large a sample is needed to achieve 80%
statistical power? Based on past research Cohen's d effect size
is estimated at 0.40, which is a small effect. See the table
below:
Cohen's d ES
Thresholds
Small
0.2
Medium
0.5
Large
0.8
Here are the results of an a priori power analysis run using
G*Power.
Output parameters
Noncentrality parameter 6
2.5612497
Critical t
1.6838510
Df
40
Total sample size
41
Actual power
0.8085822
Transcribed Image Text:Exercise 1 Fortitude Insurance sells extended car warranties over the phone. They call people using random dialing. When recipients of the phone call press one on their phone, they are transferred to a sales agent. Sales agents are paid on commission. Management is concerned about the rapid turn-over of sales agents. They have decided to test a more lucrative commission plan. You have been hired to conduct this test. The research question: Does the new commission plan help sales agents increase their weekly sales commission? The significance level will be set at 5%. Step 1: Test Set-Up Question 1: How large a sample is needed to achieve 80% statistical power? Based on past research Cohen's d effect size is estimated at 0.40, which is a small effect. See the table below: Cohen's d ES Thresholds Small 0.2 Medium 0.5 Large 0.8 Here are the results of an a priori power analysis run using G*Power. Output parameters Noncentrality parameter 6 2.5612497 Critical t 1.6838510 Df 40 Total sample size 41 Actual power 0.8085822
Question 3: Based on the research question is this a
left-tail, two-tail, or right-tail test? Place an X in the correct
box. Provide the reason for your answer below the
checklist.
Check
Correct
Tails
Test
Left-tail
Two-tails
Right-tail
What is your rationale for this answer?
Here are the collected data on weekly sales commissions:
Weekly Commission
New Plan
Old Plan
$349
$444
$401
1
$493
$358
3
$490
$415
$319
5
$333
$440
$433
$328
$426
$429
$332
$466
$378
$388
8
9.
10
$421
$475
$382
$365
11
12
$341
$311
13
$494
$420
14
$499
$324
15
$323
$445
16
$443
$432
17
$422
$426
18
$383
$430
$459
$465
$324
19
$449
20
$430
21
$341
22
$392
$376
23
$484
$453
24
$475
$424
25
$336
$308
26
$460
$355
27
$485
$465
28
$342
$431
29
$482
$329
30
$438
$419
31
$343
$457
$414
$318
$327
32
33
$413
34
$502
$397
35
$413
$450
36
$381
$406
37
$388
$388
38
$469
$341
$333
$338
39
$472
40
$334
$442
$390.63
41
$391
Мean
$419.05
SD
$57.20
$51.51
Step 2: Select the Level of Significance, a. A 5 percent
significance level is selected.
Question 4: What is (are) the critical values(s)? Round
off to three decimal places passed the decimal point.
Use the Excel file Finding_CVs_p-values.xlsx to find the
critical value(s).
Answer:
Transcribed Image Text:Question 3: Based on the research question is this a left-tail, two-tail, or right-tail test? Place an X in the correct box. Provide the reason for your answer below the checklist. Check Correct Tails Test Left-tail Two-tails Right-tail What is your rationale for this answer? Here are the collected data on weekly sales commissions: Weekly Commission New Plan Old Plan $349 $444 $401 1 $493 $358 3 $490 $415 $319 5 $333 $440 $433 $328 $426 $429 $332 $466 $378 $388 8 9. 10 $421 $475 $382 $365 11 12 $341 $311 13 $494 $420 14 $499 $324 15 $323 $445 16 $443 $432 17 $422 $426 18 $383 $430 $459 $465 $324 19 $449 20 $430 21 $341 22 $392 $376 23 $484 $453 24 $475 $424 25 $336 $308 26 $460 $355 27 $485 $465 28 $342 $431 29 $482 $329 30 $438 $419 31 $343 $457 $414 $318 $327 32 33 $413 34 $502 $397 35 $413 $450 36 $381 $406 37 $388 $388 38 $469 $341 $333 $338 39 $472 40 $334 $442 $390.63 41 $391 Мean $419.05 SD $57.20 $51.51 Step 2: Select the Level of Significance, a. A 5 percent significance level is selected. Question 4: What is (are) the critical values(s)? Round off to three decimal places passed the decimal point. Use the Excel file Finding_CVs_p-values.xlsx to find the critical value(s). Answer:
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