Use a computer and generate 50 random samples, each of size n = 28 from a normal probability distribution with = 18 and s

Use a computer and generate 50 random samples, each of size n = 28 from a normal probability distribution with µ = 18 and s = 4
a. Calculate the z corresponding to each sample mean.
b. In regard to the p-value approach, find the proportion of 50 z_ values that are “more extreme” than the z = - 1.04 that occurred in Exercise
8.201 (Ha: µ ≠ 18). Explain what this proportion represents.
c. In regard to the classical approach, find the critical values for a two-tailed test using a = 0.01 find the proportion of 50 z values that fall in the critical region. Explain what this proportion represents.