Test the hypothesis that a normally distributed population has a mean blood glucose level of 100 (2 = 100). Suppose we select a random sample of 30 individuals 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
= 0.05 level; reject or fail to reject H0 at the
= 0.01 level?

e. What type of test is preferable to run in this situation, exact or approximate?
Explain your answer.