At the ? = 0.05 level of significance, test for any difference in the job satisfaction among the four professions.  H0: μL ≠ μPT ≠ μC ≠ μSA       Ha: μL = μPT = μC = μSA H0: At least two of the population means are equal.     Ha: At least two of the population means are different.     H0: μL = μPT = μC = μSA       Ha: Not all the population means are equal. H0: μL = μPT = μC = μSA      Ha: μL ≠ μPT ≠ μC ≠ μSA H0: Not all the population means are equal.      Ha: μL = μPT = μC = μSA   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. (A) 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. (B) Reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.     (C) Reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. (D) Do not reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
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.

 H0: μL ≠ μPT ≠ μC ≠ μSA
      HaμL = μPT = μC = μSA

H0: At least two of the population means are equal.
    Ha: At least two of the population means are different.    

H0μL = μPT = μC = μSA
      Ha: Not all the population means are equal.

H0μL = μPT = μC = μSA
     HaμL ≠ μPT ≠ μC ≠ μSA

H0: Not all the population means are equal.
     HaμL = μPT = μC = μSA

 

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.

(A) 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.

(B) Reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.    

(C) Reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

(D) Do not 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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