1. The results of a recent study show that the average age of people in the United States graduating with a doctorate is 33.3 years. A sociologist thinks this age may have increased in the last year. Write the null and alternative hypotheses which would be used to test this claim. Ho: H, : 2. Suppose you are using a = 0.05 to test the claim that u > 13 using the rejection region method. You are given the sample statistics n = 31, x = 13.3, and s = 1.2. Find the standardized test statistic. Circle ONE and then write the correct test statistic. The test statistic is: z = t=