A human resource specialist wants to determine whether the average job satisfact

Question

A human resource specialist wants to determine whether the average job satisfaction score (on a scale of 0 to 100) differs depending on a person’s field of employment. She collects scores from 30 employees in three different fields. A portion of the data is shown in the accompanying table. At the 10% significance level, can we conclude that the average job satisfaction differs by field?

Field 1 Field 2 Field 3 80 76 81 76 73 77 83 87 83 88 71 78 88 81 86 91 75 85 71 75 82 81 69 81 87 73 79 77 74 78 79 77 81 74 71 80 73 75 82 77 72 76 78 72 77 71 74 85 79 77 76 80 84 83 83 81 80 80 84 89 80 65 80 80 69 79 89 75 81 82 69 79 81 76 75 79 69 80 92 78 70 86 91 84 94 69 73 79 67 80

Explanation / Answer

Null hypothesis (H0): The average job satisfaction does not differs by field

Alternative hypothesis (H1): The average job satisfaction differs by field

Anova: Single Factor

Conclusion: F calculated value is greater than F critical value i.e., 11.48 > 2.36 therefore we Reject H0

Therefore, the average job satisfaction differs by field

Anova: Single Factor

SUMMARY Groups Count Sum Average Variance Column 1 30 2438 81.26667 35.16781609 Column 2 30 2249 74.96667 36.44712644 Column 3 30 2400 80 15.44827586 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 666.2889 2 333.1444 11.47939798 3.76E-05 2.364616 Within Groups 2524.833 87 29.02107 Total 3191.122 89

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