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Correctional services were interested in evaluating a cognitive-behavioural based intervention designed to reduce violence and offending....

Correctional services were interested in evaluating a cognitive-behavioural based intervention designed to reduce violence and offending. A group of researchers assigned nine offenders on parole into a control group for one year and recorded the number of violent incidents perpetrated by the offenders. Then, these offenders were given the intervention for one year and the number of violent incidents perpetrated by the offenders was recorded following the treatment. The researchers are interested in testing whether the treatment had any effect on the outcome.

Control = 4, 7, 4, 6, 8, 5, 9, 7, 4

Treatment = 3, 5, 2, 7, 5, 5, 6, 4, 2

a) What is the appropriate model of the population?

b) What are the appropriate hypotheses for this analysis?

c) What is/are the critical value(s) for this test using an alpha of 0.05?

d) What is the observed value of the appropriate test statistic?

e) What is your decision regarding the stated hypotheses?

f) What is the estimated effect size using Cohen’s d?

g) What is the 95% confidence interval around the population mean difference?

h) Did the intervention have an effect on the outcome

Math   Statistics-And-Probability   
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