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. a. Find the sample mean for University A. $ 64.60 (Round to the nearest cent as needed.) Find the sample mean for University B. $ 70.40 (Round to the nearest cent as needed.) Compare the sample means The sample mean is larger at University B. b. Determine the hypotheses for this test. Let "difference be the mean of differences between the paired observations. Choose the correct answer below. O A. Ho Hdifference = 0 O B. Ho : H difference > 0 Ha: Hdifference 0 Ha: Hdifference * 0 Find the test statistic for this test. t= (Round to two decimal places as needed.) X Data table University A ($) University B ($) 75 82 82 80 48 40