O I. p-value>0.053Da → Fail to reject Ho: There is significant evidence of a difference among the three divisions with respect to mean level of satisfaction with management O II. p-value<0.053D¤ → Reject Ho: There is insufficient evidence of a difference among the three divisions with respect to mean level of satisfaction with management III. p-value<0.05=a → Reject Ho: There is significant evidence of a difference among the three divisions with respect to mean level of satisfaction with management IV. p-value=>0.05=a → Fail to reject Ho: There is insufficient evidence of a difference among the three divisions with respect to mean

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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QUESTION 7
8.31ba: Select appropriate reason and conclusion
Hint: See L-22 Lecture and Pdf Presentation: p 7-8
(Exercise 8.32b)
O 1. p-value>0.05=Da → Fail to reject Ho: There is
significant evidence of a difference among
the three divisions with respect to mean
level of satisfaction with management
II. p-value<0.053Da → Reject Ho: There is
insufficient evidence of a difference among
the three divisions with respect to mean
level of satisfaction with management
III. p-value<0.053Da → Reject Ho: There is
significant evidence of a difference among the
three divisions with respect to mean level of
satisfaction with management
IV. p-value=>0.053a → Fail to reject Ho: There is
insufficient evidence of a difference among
the three divisions with respect to mean
level of satisfaction with management
Transcribed Image Text:QUESTION 7 8.31ba: Select appropriate reason and conclusion Hint: See L-22 Lecture and Pdf Presentation: p 7-8 (Exercise 8.32b) O 1. p-value>0.05=Da → Fail to reject Ho: There is significant evidence of a difference among the three divisions with respect to mean level of satisfaction with management II. p-value<0.053Da → Reject Ho: There is insufficient evidence of a difference among the three divisions with respect to mean level of satisfaction with management III. p-value<0.053Da → Reject Ho: There is significant evidence of a difference among the three divisions with respect to mean level of satisfaction with management IV. p-value=>0.053a → Fail to reject Ho: There is insufficient evidence of a difference among the three divisions with respect to mean level of satisfaction with management
H.R.
8.31 Salary disputes and their eventual resolutions often leave both employers and employees
embittered by the entire ordeal. To assess employee reactions to a recently devised salary
and fringe benefits plan, the personnel department obtained random samples of 15 employees
from each of three divisions in the company: manufacturing, marketing, and research. The
personnel staff asked each employee sampled to respond (in confidence) to a series of ques-
tions. Several employees refused to cooperate, as reflected in the unequal sample sizes. The
data are given here:
Manufacturing
18.79
22.46
31.99
24.74
29.52
20.25
31.64
28.66
27.97
28.19
20.22
29.18
Marketing
27.63
31.22
35.33
31.06
36.50
29.92
33.18
37.03
35.22
37.89
23.01
37.81
33.41
29.361
Research
26.64
28.90
32.05
26.54
27.12
35.78
26.28
31.90
25.70
25.44
33.41
The data given above are the average responses from the employees, with larger scores reflecting
a higher degree of satisfaction with management.
a. Write a model for this situation. Make sure to identify all the terms in your model.
b. Based on the summary of the scored responses, is there significant evidence of
a difference among the three divisions with respect to their levels of satisfaction
with management?
Transcribed Image Text:H.R. 8.31 Salary disputes and their eventual resolutions often leave both employers and employees embittered by the entire ordeal. To assess employee reactions to a recently devised salary and fringe benefits plan, the personnel department obtained random samples of 15 employees from each of three divisions in the company: manufacturing, marketing, and research. The personnel staff asked each employee sampled to respond (in confidence) to a series of ques- tions. Several employees refused to cooperate, as reflected in the unequal sample sizes. The data are given here: Manufacturing 18.79 22.46 31.99 24.74 29.52 20.25 31.64 28.66 27.97 28.19 20.22 29.18 Marketing 27.63 31.22 35.33 31.06 36.50 29.92 33.18 37.03 35.22 37.89 23.01 37.81 33.41 29.361 Research 26.64 28.90 32.05 26.54 27.12 35.78 26.28 31.90 25.70 25.44 33.41 The data given above are the average responses from the employees, with larger scores reflecting a higher degree of satisfaction with management. a. Write a model for this situation. Make sure to identify all the terms in your model. b. Based on the summary of the scored responses, is there significant evidence of a difference among the three divisions with respect to their levels of satisfaction with management?
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