Question

A sample of 10 employees was randomly selected from each of three companies with different management styles (authoritarian, laissez-faire, and participative) and asked to rate their level of job satisfaction on a continuous scale from 0 to 100. Is there evidence of a difference in average job satisfaction among the three management styles? Use a significance level of 0.10.

1. Type the null and alternative hypothesis

2. Name the appropriate test for this problem

Answer 1

We have to find if the mean job satisfaction among the three management styles are the same.

(a) The Hypothesis:

H0: All the means are equal;

Ha: Not all the means are equal.

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(b) Since we are comparing the means for more than 2 groups where there is one set of independent variables with multiple levels and one response variable, we conduct a one way ANOVA (F test).

Requirements to Perform a One- Way ANOVA Test

(a) There must be n simple random samples, from each of k populations or a randomized experiment with k treatments.

(b) The k samples must be independent of each other; that is, the subjects in one group cannot be related in any way to subjects in a second group.

(c) The populations must be normally distributed.

(d) The populations must have the same variance;

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