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. 0 H : ________ : H a ________

2. Suppose you are using = 0.05 to test the claim that > 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 = __________________

3. A study finds that the percentage of students satisfied with parking availability on one campus of a college is 18%. It is thought that the percentage satisfied on another campus is not the same. If statement was tested with an alpha = 0.05, sketch the rejection region that would be used and label the cutoff(s)/critical value(s). Do not complete the hypothesis test.

4. A student wishes to conduct a right-tailed test about a mean using a sample size of 18 and an alpha of 10%. The population standard deviation is unknown. Assuming all other necessary conditions are met, sketch the rejection region that would be used for this test and label the critical value/cutoff.