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2.A professor at the University of Hawaii was interested in studying the relationship between training for judges and offender participation in treatment programs. The researcher

2.A professor at the University of Hawaii was interested in studying the relationship between training for judges and offender participation in treatment programs. The researcher was interested in evaluating if training and follow-up increase the number of sessions an offender completed. The researcher randomly assigned 10 offenders to three conditions and then gathered information on how many sessions each person attended. The data is presented below.

Control group: 5, 9, 10

Training group: 1, 2, 2

Training and follow-up group: 5, 6, 7, 5

Using the information above complete the table below and answer the questions.

Table 1. Descriptive Statistics (2 points)

n M S2
Control 3 8 7
Training 3 1.67 0.33
Training and follow-up 4 5.57 0.69

Answer

Possible Points
What is the dependent variable? The number of sessions an offender completed 1
What is the null hypothesis? Ther is no significant different in the number of sessions completed among 1
What is the F-ratio? We need 1
Using an alpha level of 0.05, what is your decision regarding the null hypothesis? 1
Compute the effect size. 1
Based on the effect size is the effect of training, small, medium, or large? 1
Does this data meet the assumption of homogeneity? 1
What is the central limit theorem, and how would you apply it to this data? 1
What is the Tukey post hoc test value for the difference between controls and treatment? 1
If judges want to increase sessions an offender completed, what should they do based on this data? 1

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