ull and alternative hypc At least two of the popu At least two of the popu HL = "PT "C = HSA "L HpT # Hc# SA %3D %3D HL HpT Hc # SA HL = HpT= Hc = SA %3D Not all the population HL=HPT = HC = "SA %3D %3D HL= HPT = HC = SA %3D %3D Not all the population

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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The second slide is the first part of the question  and the first slide is the second part of the question.

A research study concluded that self-employed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using 18 items, each of which is rated using a
Likert-type scale with 1-5 response options ranging from strong agreement to strong disagreement. A higher score on this scale indicates a higher degree of job satisfaction. The sum of the ratings for the 18 items, ranging from 18-90, is
used as the measure of job satisfaction. Suppose that this approach was used to measure the job satisfaction for lawyers, physical therapists, cabinetmakers, and systems analysts. Suppose the results obtained for a sample of
10 individuals from each profession follow.
Lawyer
Physical Therapist
Cabinetmaker
Systems Analyst
46
57
54
42
40
80
67
73
76
80
77
69
40
86
69
60
53
58
77
66
52
61
66
66
45
60
57
39
46
50
78
55
66
57
84
74
38
52
62
62
At the a = 0.05 level of significance, test for any difference in the job satisfaction among the four professions.
State the null and alternative hypotheses.
O Ho: At least two of the population means are equal.
H: At least two of the population means are different.
O Ho: HL = HPT = "c = HSA
H HL HpT # Hc "SA
O Ho: HL HpT * Hc # HSA
H HL = HpT= Hc = USA
O Ho: Not all the population means are equal.
H L= "PT = Hc = "SA
O Ho: HL = HPT = "c = HSA
H: Not all the population means are equal.
Transcribed Image Text:A research study concluded that self-employed individuals do not experience higher job satisfaction than individuals who are not self-employed. In this study, job satisfaction is measured using 18 items, each of which is rated using a Likert-type scale with 1-5 response options ranging from strong agreement to strong disagreement. A higher score on this scale indicates a higher degree of job satisfaction. The sum of the ratings for the 18 items, ranging from 18-90, is used as the measure of job satisfaction. Suppose that this approach was used to measure the job satisfaction for lawyers, physical therapists, cabinetmakers, and systems analysts. Suppose the results obtained for a sample of 10 individuals from each profession follow. Lawyer Physical Therapist Cabinetmaker Systems Analyst 46 57 54 42 40 80 67 73 76 80 77 69 40 86 69 60 53 58 77 66 52 61 66 66 45 60 57 39 46 50 78 55 66 57 84 74 38 52 62 62 At the a = 0.05 level of significance, test for any difference in the job satisfaction among the four professions. State the null and alternative hypotheses. O Ho: At least two of the population means are equal. H: At least two of the population means are different. O Ho: HL = HPT = "c = HSA H HL HpT # Hc "SA O Ho: HL HpT * Hc # HSA H HL = HpT= Hc = USA O Ho: Not all the population means are equal. H L= "PT = Hc = "SA O Ho: HL = HPT = "c = HSA H: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value
State your condusion.
O Reject H. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
O Do not reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
O Do not reject H,. There is sufficient evidence to condude that the mean job satisfaction rating is not the same for the four professions.
O Reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value State your condusion. O Reject H. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. O Do not reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. O Do not reject H,. There is sufficient evidence to condude that the mean job satisfaction rating is not the same for the four professions. O Reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Expert Solution
Step 1

The data for 10 individuals from the four professions is given in the following table.

Lawyer  Physical Therapist  Cabinetmaker Systems Analyst
46 57 54 42
40 80 67 73
76 80 77 69
40 86 69 60
53 58 77 66
52 61 66 66
45 60 57 39
46 50 78 55
66 57 84 74
38 52 62 62

It is required to test whether there is any difference in job satisfaction among the four professions.

The given level of significance is 0.05.

 

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