1. Much has been made about the overall intelligence of criminal offenders in general, and violentoffenders in particular. There is an assumption that violent offenders are inherently less intelligentthan non-violent offenders. To test this idea, data were collected from two separate groups ofoffenders (violent offenders and property offenders). Intelligence scores were obtained for everyoffender in the two samples.2. Please submit your solution (step-by-step calculations), and the conclusion here. DescriptiveStatistics appear below:Property Offenders – Average IQ = 96, sd = 8.5, n=225Violent Offenders – Average IQ = 88, sd = 7.5, n=200Use t to test the following set of hypotheses at the 95% level of confidence:Ha: Violent offenders are less intelligent than property offendersHo: Violent offenders and property offenders do not differ significantly with regard to intelligence scoresHomework Problems1. It is thought that one tangible benefit of increasing the educational requirements for incomingpolice officers would be a decrease in the number of police brutality complaints filed by citizenseach year. To test this idea, we can use Z to test two independent samples of police officers -one group with college degrees, the other without. A random sample of officers was selected fromone state.2. Please submit your solution (step-by-step calculations ), and the conclusion, at the 95% level ofconfidence, here. The data and hypotheses are as follows:% of College educated officers who had an abusecomplaint filed against them in the previous 12months15N=485% of Non-college educated officers who had an abcomplaint filed against them in the previous 12 mo18N=612Ha: College-educated officers will have fewer abuse complaints filed against themHo: Their levels of education do not affect the proportion of abuse complaints filed against police officers