Answered: A research study concluded that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
H_a: ?_L = ?_PT = ?_C = ?_SAH₀: ?_L = ?_PT = ?_C = ?_SA
H_a: Not all the population means are equal. H₀: ?_L = ?_PT = ?_C = ?_SA
H_a: ?_L ≠ ?_PT ≠ ?_C ≠ ?_SAH₀: At least two of the population means are equal.
H_a: At least two of the population means are different.H₀: ?_L ≠ ?_PT ≠ ?_C ≠ ?_SA
H_a: ?_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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