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: HL - Hor Hc" "SA O Ho: HL* HpT * Hc * "SA H: HL" Hpr " Hc - "Sa O Họ: Not all the population means are equal. O Hg: At least two of the population means are equal. H: At least two of the population means are different. O Hg: HL " Her " Hc" HSA H: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.)

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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
42
53
52
46
44
78
65
75
74
78
79
73
42
86
71
60
55
58
77
64
52
61
64
68
43
60
59
41
50
52
78
55
64
53
86
78
40
50
58
64
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: HL = HpT = "c = "SA
O Ho: HL # HpT * Hc# HSA
H: KL = HPT = Hc = HSA
O Ho: Not all the population means are equal.
Ha: L = "PT = Hc = MSA
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.: Not all the population means are equal.
Find the value of the test statistic. (Round your answer to two decimal places.)
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 42 53 52 46 44 78 65 75 74 78 79 73 42 86 71 60 55 58 77 64 52 61 64 68 43 60 59 41 50 52 78 55 64 53 86 78 40 50 58 64 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: HL = HpT = "c = "SA O Ho: HL # HpT * Hc# HSA H: KL = HPT = Hc = HSA O Ho: Not all the population means are equal. Ha: L = "PT = Hc = MSA 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.: 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 conclusion.
O Do not reject Ho. 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.
Reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
O Reject Ho. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Transcribed Image Text:Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. 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. Reject H. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. O Reject Ho. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
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