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Chapter 7: A sports analyst claims that the mean winning times for Boston Marathon women's champions is at least 2.68 hours. A sample of 30 randomly selected women's champions has a mean of 2.60 hours. Assume the population standard deviation is 0.32 hours. Given alpha is 0.05, complete the following: 1. State the null and alternative hypotheses, noting which one is the claim. (10 points) 2. Draw a picture of the hypothesis test, including a. Where the tail(s) are located ( 10 points) b. The rejection region(s) (10 points) c. The critical Z score ( 10 points) 3. Calculate the test statistic and the P value (the area corresponding to the test statistic). Add these to your picture from number 2. (20 points) 4. Compare the critical z and test statistic, and then the P value and alpha, to decide whether to reject or fail to reject. (20 points) 5. State your conclusion regarding the initial claim. (20 points)