Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, µ, is greater than 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 42 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below. What are the null hypothesis (H,) and the alternative hypothesis (H, ) that should be used for the test? H,: µ is ? H:µ is ? Aa In the context of this test, what is a Type I error? A Type I error is ? H is ? |the hypothesis that µ is ? ? v when, in fact, Suppose that we decide not to reject the null hypothesis. What sort of error might we be making?