Assignment:
1. You are interested in assessing the effectiveness of a domestic violence counseling program designed to decrease the number of domestic abuse incidents among convicted abusers. The case files of ten offenders are randomly selected from the population of convicted abusers. The number of abuse incidents (verbal or physical) six reported six months before the implementation of the counseling program and six months following the completion of the program are reported below. Using a .01 level of significance, test the hypothesis that the number of abuse incidents was greater before participation in the counseling program.
Number of Abuse Incidents Before and After Implementation of Domestic Violence Counseling Program
|
Offender number
|
Before
|
After
|
|
1
|
4
|
2
|
|
2
|
3
|
1
|
|
3
|
1
|
1
|
|
4
|
4
|
0
|
|
5
|
1
|
2
|
|
6
|
3
|
1
|
|
7
|
4
|
3
|
|
8
|
4
|
2
|
|
9
|
4
|
2
|
|
10
|
2
|
0
|
2. You have been hired by the mayor of a mid-sized city who wants to see if senior citizens and younger citizens differ in their attitudes toward a neighborhood watch program. Fifteen citizens from each age group were randomly selected to give their opinions about the effectiveness of the program on a 7-point scale (the higher the number, the more favorable the attitude). Using the data below, test the hypothesis that there is no difference between the two groups of citizens.
|
Younger Citizens
|
Senior Citizens
|
|
5
|
3
|
|
5
|
4
|
|
7
|
5
|
|
7
|
7
|
|
7
|
4
|
|
6
|
4
|
|
7
|
3
|
|
6
|
4
|
|
5
|
4
|
|
7
|
3
|
|
5
|
5
|
|
7
|
4
|
|
6
|
2
|
|
7
|
3
|
|
6
|
2
|
3. 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.
(b) Using a post hoc analysis, write where the specific differences are between each of the possible pairwise comparisons of officers' height.
(c) Calculate the strength of the effect for height on officers' use of physical force
(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?
|
5'0" - 5'10" (X1)
|
5'11" - 6'4" (X2)
|
Over 6'4" (X3)
|
|
0
|
3
|
4
|
|
3
|
3
|
5
|
|
1
|
1
|
6
|
|
1
|
2
|
2
|
|
0
|
4
|
3
|
|
2
|
3
|
4
|
|
2
|
5
|
5
|
|
0
|
1
|
6
|
|
2
|
2
|
8
|
|
0
|
0
|
7
|
|
2
|
1
|
2
|
|
1
|
2
|
1
|
|
3
|
0
|
3
|
|
1
|
3
|
5
|
|
2
|
2
|
3
|