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 36 12 30 24 30 18 12 12 24 12 36 Hughes 24 Judge 36 18 36 30 Wilson 12 24 30 24 30 36 30 30 Copy Data Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. Ho : PI = /2 Ha : PI Submit