PLEASE ONLY ANSWER QUESTION 2!!! USE QUESTION ONE AS REFERENCE FOR PART 2D!! PLEASE ANSWER ALL PARTS OF EVERY QUESTION IN QUESTION 2!!! ( PLEASE ANSWER 2B AND 2D WITH DETAIL) 1. 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. A. 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) B. 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) C. Calculate your test statistic and P-value. Show your work. (2 points) D. What's your critical t value and your conclusion (at a = .05)? (2 points) 2. 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)