Statistical Analysis in CJ HOMEWORK #9 Final answers for any math problems should round to the second decimal place. 1. Researchers set out to determine whether multiple homicide offenders (MHOs) were diverse in the number and types of crime they commit or whether, instead, they tend to specialize in killings. The researchers compared MHOs to single homicide offnders (SHOs) for the purposes of this study. MHOs (Sample 1; N=155) had a mean diversity index score of .36 (s=.32) and SHOs (Sample 2; N=463) had a mean of .37 (s=.33). Using an alpha level of .05, test the hypothesis that the two groups' means are significantly different. Assume equal population variances. a) What are the two groups being compared? b) Would this be a one-tailed or a two-tailed t-test? c) Identify the following values for each of the groups and the characteristics of the test: Sample 1: MHO Sample 2: SHO Test d) Conduct a five-step hypothesis test: Step 1: State the Null AND Alternative Hypotheses: Step 2: Identify the Distribution AND Calculate the Degree of Freedom: Step 3 Identify the Critical Value AND State the Decision Rule: Step 4: Compute the Obtained Value of the Test Statistic: Step 5: Make A Decision AND State A Conclusion:2. A researcher wants to look at the processing time for juveniles who are released after arrest versus those who are detained. She wants to test if the processing times for released juveniles are significantly longer than those who are detained. The JDCC data set records whether a juvenile was released and the number of months it took for that juvenile's case to reach a disposition. The sample will be narrowed to black female youth. Released juveniles (Sample 1) had a mean of 4.30 months to disposition (s = 3.86, N = 123) and detained juveniles (Sample 2) had a mean of 3.57 (s = 4.20, N = 64). Using an alpha level of 0.01, test the hypothesis that released juveniles' process time is significantly greater than detained juveniles' mean. Assume equal population variances. a) What are the two groups being compared? b) Would this be a one-tailed or a two-tailed t-test? c) Identify the following values for each of the groups and the characteristics of the test: Sample 1: Released Sample 2: Detained Test d) Conduct a five-step hypothesis test: Step 1: State the Null AND Alternative Hypotheses: Step 2: Identify the Distribution AND Calculate the Degree of Freedom: Step 3 Identify the Critical Value AND State the Decision Rule: Step 4: Compute the Obtained Value of the Test Statistic: Step 5: Make A Decision AND State A Conclusion