Question

1) Much has been made about the overall intelligence of criminal offenders in general, and violent offenders in particular. There is an assumption that violent offenders are inherently less intelligent than non-violent offenders. To test this idea, data were collected from two separate groups of offenders (violent offenders and property offenders). Intelligence scores were obtained for every offender in the two samples. Please submit your solution (step-by-step calculations ), and the conclusion here. Descriptive Statistics appear below:

Property Offenders - Average IQ = 96, sd = 8.5, n=225

Violent Offenders - Average IQ = 88, sd = 7.5, n=200

2) Use t to test the following set of hypotheses at the 95% level of confidence:

H_a: Violent offenders are less intelligent than property offenders
H_o: Violent offenders and property offenders do not differ significantly with regard to intelligence scores

Answer 1

Let Population 1: Property Offenders Population 2: Violent Offenders

Conclusion: We can conclude that violent offenders are less intelligent than property offenders.