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 |
53 |
54 |
46 |
40 |
76 |
65 |
71 |
76 |
82 |
81 |
69 |
44 |
88 |
71 |
60 |
55 |
60 |
81 |
62 |
52 |
57 |
66 |
68 |
45 |
60 |
61 |
39 |
46 |
50 |
80 |
53 |
64 |
57 |
84 |
78 |
36 |
50 |
62 |
60 |
At the ? = 0.05 level of significance, test for any difference in the job satisfaction among the four professions.
H
0: μL ≠ μPT ≠ μC ≠ μSA
H
a:μ
L =μ
PT =μ
C =μ
SA
H
0: At least two of the population means are equal.
H
a: At least two of the population means are different.
H
0:μ
L =μ
PT =μ
C =μ
SA
H
a: Not all the population means are equal.
H
0:μ
L =μ
PT =μ
C =μ
SA
H
a:μ
L ≠μ
PT ≠μ
C ≠μ
SA
H
0: Not all the population means are equal.
H
a:μ
L =μ
PT =μ
C =μ
SA
Find the value of the test statistic. (Round your answer to two decimal places.) =_____
Find thep-value. (Round your answer to three decimal places.)
p-value = ______
State your conclusion.
(A) Do not rejectH
0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
(B) RejectH
0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
(C) RejectH
0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
(D) Do not rejectH
0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.