Question: A researcher undertakes a study of physical force incidences among a sample of correctional officers. The research is specifically interested in determining whether the use of force differs depending on the height of the officer. The researcher selected a random sample of 45 officers in three different height categories and examines the number of times each of those officers used physical force within the past 12 months. Use the data below to answer the following questions:

(a) Test the hypothesis that there is a significant difference, overall, between the three height groups and display the means in a bar graph. (30)

(b) Using a post hoc analysis, write where the specific differences are between each of the possible pairwise comparisons of officers’ height. (7)

(c) Calculate the effect size for height (3)

(d) Based on all of these results, would you make any recommendations to your state department of corrections regarding the hiring of correctional officers? Why or why not? (5)