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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 | 53 | 56 | 42 |
40 | 78 | 65 | 71 |
74 | 80 | 81 | 73 |
42 | 88 | 67 | 62 |
53 | 62 | 81 | 66 |
50 | 59 | 66 | 64 |
45 | 60 | 61 | 39 |
50 | 50 | 80 | 55 |
62 | 53 | 84 | 74 |
36 | 50 | 58 | 62 |
At the ? = 0.05 level of significance, test for any difference in the job satisfaction among the four professions.
State the null and alternative hypotheses.
H0: Not all the population means are equal.
Ha: ?L = ?PT = ?C = ?SAH0: ?L = ?PT = ?C = ?SA
Ha: Not all the population means are equal. H0: ?L = ?PT = ?C = ?SA
Ha: ?L ≠ ?PT ≠ ?C ≠ ?SAH0: At least two of the population means are equal.
Ha: At least two of the population means are different.H0: ?L ≠ ?PT ≠ ?C ≠ ?SA
Ha: ?L = ?PT = ?C = ?SA
Ha: ?L = ?PT = ?C = ?SAH0: ?L = ?PT = ?C = ?SA
Ha: Not all the population means are equal. H0: ?L = ?PT = ?C = ?SA
Ha: ?L ≠ ?PT ≠ ?C ≠ ?SAH0: At least two of the population means are equal.
Ha: At least two of the population means are different.H0: ?L ≠ ?PT ≠ ?C ≠ ?SA
Ha: ?L = ?PT = ?C = ?SA
Find the value of the test statistic. (Round your answer to two decimal places.)
Test statistic=?
Find the p-value. (Round your answer to three decimal places.)
p-value = ?
State your conclusion.
Do not reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Do not reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
Reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.
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