In: Statistics and Probability
Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on time served, in months. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? Assume that populations standard deviations are same for both group. (i.e., we assume σ1 = σ2 .) What is the parameter of interest? What is the underlying distribution?
Fraud: 15.2, 11.2, 7.2, 7.7, 7.4, 9.1, 15.8, 5.2, 4.9, 9.8
Firearms: 20.1, 20.4, 13.1, 20.7, 10.4, 15.7, 9.8, 13.5, 23.1, 22.2