1. C. D. Management at a radio station wants to know the number of songs it plays per hour. A random sample over the past month yields the following counts for songs per hour: 9, 13, 12,8, 7, 10, 11, 10,8, 12, 13, 9, 10, 12, and 11. The radio station wants to claim that they play more than 10 songs per hour. What are the null and alternative hypotheses that test this statement? (2 points) . What test will you use to evaluate the alternative hypothesis? What are the conditions of this test? Are they met in this situation? (2 points) Calculate your test statistic and P-value. Show your work. (2 points) . What's your critical if value and your conclusion (at a = .05)? (2 points) . The station manager thinks the station doesn't play 10 songs per hour, but he doesn't know whether the station plays more or less than 10 songs per hour. What are the null and alternative hypotheses for this test? (2 points) . What test will you use to evaluate the alternative hypothesis? What are the conditions of this test and are they met in this situation? (2 points) Calculate your test statistic and P-value. Show your work. (2 points) . What's your critical t value and what's your conclusion at a = .05? Compare the Critical t value and the P-value to those from the test from question 1 and explain the difference. (3 points) . 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, 9.5, 8.9, 11.4, 16.3, and 15.2. Compute a 99% confidence interval for the mean number of commercial minutes played in an hour. (2 points) . 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) What test will you use to evaluate the alternative hypothesis? What are the conditions on this test and are they met in this situation? (1 poifts) Calculate your test statistic and P-value. Show your work. (2 poifts) What's your critical t value and conclusion at a = .05? (2 poifts)