The University of Missouri allows full-time staff members 17 vacation days per year. One staff member wonders whether this is typical of other colleges and universities across the country. She decides to conduct a hypothesis test, using the .01 significance level, to determine whether the mean number of vacation days allowed by other colleges and universities differs from the 17 days MU allows. She randomly selects 100 of these institutions and obtains a mean of 17.8 vacation days per year with a standard deviation of 2.1.
A1: choose the appropriate fromula for the test statistic and find its value. A2: Describe the rejection region for this test.