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A study reported in the Journal of Small Business Management concluded that self

ID: 3046449 • Letter: A

Question

A study reported in the Journal of Small Business Management concluded that selfemployed 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. The results obtained for a sample of 10 individuals from each profession follow. Click on the webfile logo to reference the data WEB file Excel or Minitab users: The data set is available in file named SatisJob. All data sets can be found in your eBook or on your Student CD. Cabinetmaker 54 65 Physical Therapist Systems Analyst 78 80 86 73 74 42 53 79 64 45 48 64 52 84 76 At the = .05 level of significance, test for a difference among the mean job satisfaction scores for the four professions. a. Compute the values below (to 2 decimals, if necessary) Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error b. Calculate the value of the test statistic (to 2 decimals).

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics


ANOVA table

Hence,

a) Sum of square, treatments = 1939.4

Sum of squares, Error = 4782.6

Mean squares, treatment = 646.47

Mean squares, Error = 132.85

b) Test statistic = 4.87

Column n Mean Std. Dev. Std. Error Lawyer 10 50 11.145502 3.5245173 Therapist 10 63.7 12.832684 4.058051 Cabinetmaker 10 69.1 10.289693 3.2538866 Analyst 10 61.2 11.688551 3.6962443