3. The same radio station wants to track the average number of commercial minutes it plays in an hour. A random sample over the past month yielded the following data in minutes: 15.5, 10.2, 8.2, 16, 14.4, p.5, 8.p. 11.4, 16.3, and 15.2. A. Compute a 99% confidence interval for the mean number of commercial minutes played in an hour. (2 points) B. The station manager is concerned that listeners will change the station if too many commercials are played per hour. The program manager says the show plays less than 15 minutes of commercials per hour. Set up the hypotheses to test the program manager's statement. (1 points) C. what test will you use to evaluate the alternative hypothesis? what are the conditions on this test and are they met in this situation? D. Calculate your test statistic and P-value. Show your work. E. what's your critical t value and conclusion at a = .05?