An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.10 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal.

Judge Hughes	36	12	30	24	30	18	12	12	24	12	24	36
Judge Wilson	36	18	36	30	12	24	30	24	30	36	30	30

Step3of3: Draw a conclusion and interpret the decision.

A,) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to say thatJudge Hughes issues shorter sentences than Judge Wilson.

B.) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.10 level of significance to say thatJudge Hughes issues shorter sentences than Judge Wilson.

C.) We reject the null hypothesis and conclude that there issufficientevidence at a 0.10 level of significance to say thatJudge Hughes issues shorter sentences than Judge Wilson.

D.) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.10 level of significance to say thatJudge Hughes issues shorter sentences than Judge Wilson.