1. In the previous exercise there were two possible outcomes; reject the null hy- pothesis or fail to reject the null hypothesis. Explain in your own words what is meant by these outcomes.
2. Test the hypothesis that a normally distributed population has a mean blood glucose level of 100 (u 2 = 100). Suppose we select a random sample of 30 in- dividuals from this population (X- = 98.1, S2 = 126).
a. What is the hypothesis set (null and alternative) for a two-tailed test?
b. Find the estimated s.e.m.
c. Find the Z statistic.
d. What decision should we make, i.e., reject or fail to reject H0 at the CY = 0.05 level; reject or fail to reject H0 at the CY = 0.01 level?
e. What type of test is preferable to run in this situation, exact or approxi- mate? Explain your answer.