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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? What test will you use to evaluate the alternative hypothesis? What are the conditions of this test? Are they met in this situation? Calculate your test statistic and P-value. Show your work. What's your critical t value and your conclusion (at α = .05)?
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