Name the test to use and the hypotheses first, then:

1. The U.S. Bureau of Prisons publishes data in Statistics Report on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served in months.

N M S
Sample 1: Fraud 10.12 months 4.90 35
Sample 2:Firearms 18.78 months 4.64 40

At the 5% level do the data provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? Identify the appropriate test and test the claim using the traditional method at the 0.05 level of significance.