Use a computer and generate 50 random samples, each of size n = 28, from a normal probability distribution with µ = 19 and σ = 4.
a. Calculate the z corresponding to each sample mean that would result when testing the null hypothesis µ = 18
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. 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 noncritical region. Explain what this proportion represents.