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 57 52 44 44 78 65 75 74 82 77 69 40 84 71 60 51 60 81 66 50 61 66 64 45 60 61 43 48 50 80 55 66 57 82 78 36 52 58 60 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. 1. H0: Not all the population means are equal. Ha: μL = μPT = μC = μSA 2. H0: μL = μPT = μC = μSA Ha: Not all the population means are equal. 3. H0: μL = μPT = μC = μSA Ha: μL ≠ μPT ≠ μC ≠ μSA 4. H0: At least two of the population means are equal. Ha: At least two of the population means are different. 5. H0: μL ≠ μPT ≠ μC ≠ μSA 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. 1. 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. 2. Reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. 3. Reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. 4. Do not reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions.

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 57 52 44 44 78 65 75 74 82 77 69 40 84 71 60 51 60 81 66 50 61 66 64 45 60 61 43 48 50 80 55 66 57 82 78 36 52 58 60 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. 1. H0: Not all the population means are equal. Ha: μL = μPT = μC = μSA 2. H0: μL = μPT = μC = μSA Ha: Not all the population means are equal. 3. H0: μL = μPT = μC = μSA Ha: μL ≠ μPT ≠ μC ≠ μSA 4. H0: At least two of the population means are equal. Ha: At least two of the population means are different. 5. H0: μL ≠ μPT ≠ μC ≠ μSA 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. 1. 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. 2. Reject H0. There is sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. 3. Reject H0. There is not sufficient evidence to conclude that the mean job satisfaction rating is not the same for the four professions. 4. 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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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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Lawyer	Physical Therapist	Cabinetmaker	Systems Analyst
46	57	52	44
44	78	65	75
74	82	77	69
40	84	71	60
51	60	81	66
50	61	66	64
45	60	61	43
48	50	80	55
66	57	82	78
36	52	58	60

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.

1. H₀: Not all the population means are equal.
H_a: μ_L = μ_PT = μ_C = μ_SA

2. H₀: μ_L = μ_PT = μ_C = μ_SA
H_a: Not all the population means are equal.

3. H₀: μ_L = μ_PT = μ_C = μ_SA
H_a: μ_L ≠ μ_PT ≠ μ_C ≠ μ_SA

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

5. H₀: μ_L ≠ μ_PT ≠ μ_C ≠ μ_SA
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 the p-value. (Round your answer to three decimal places.)

p-value = ( )

State your conclusion.

1. 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.

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

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

4. 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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