The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. Click the icon to view the table of prices. Data Table a. Find the sample mean for University A. $ 66.27 (Round to the nearest cent as needed.) Find the sample mean for University B. $68.73 (Round to the nearest cent as needed.) Compare the sample means. University A ($) University B ($) 53 59 57 63 63 64 79 79 73 76 The sample mean is larger at University B. 88 91 51 52 b. Determine the hypotheses for this test. Let Hdifference be the 78 73 OA. Ho Hdifference