Management styles differ among organizations and may potentially affect employee job satisfaction. A sample of 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 10-point scale (10 being the highest level of satisfaction). The data collected and partial ANOVA results appear below.
a. What are the null and alternative hypotheses (in words, not symbols)?
b. Are the conditions / assumptions for ANOVA met?
c. Calculate the F-statistic.
d. The P-value for this statistic turns out to be

Question

Management styles differ among organizations and may potentially affect employee job satisfaction. A sample of 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 10-point scale (10 being the highest level of satisfaction). The data collected and partial ANOVA results appear below.
    a. What are the null and alternative hypotheses (in words, not symbols)?
b. Are the conditions / assumptions for ANOVA met?
c. Calculate the F-statistic.
d. The P-value for this statistic turns out to be < .001. State the conclusion.
e. Suppose that employees fall into several job categories, such as clerical, technical, or professional. How might this affect the study results? Suggest how the design for the study could have been improved.

Quizplus · Accepted Answer

The Answer is a. H0: Mean employee job satisfaction ratings are equal across companies with different management styles.
HA: At least one mean employee job satisfaction rating is different from the others.
b. Employees were randomly selected from each of the three companies. Therefore, the independence assumption holds. Boxplots of the original data indicate that the equal variance assumption is reasonable. The Normal probability plot of residuals indicates that the Nearly Normal Condition is reasonable.
c. F = 35.16
d. With such a small P-value = 3.039E-08 (using technology), we can reject the null hypothesis and conclude that at least one mean employee job satisfaction rating is different from the others.
e. Job category may be a confounding variable. A randomized block design using job category as the blocking variable might improve the study.

Management Styles Differ Among Organizations and May Potentially Affect Employee