Mean Height. Suppose the mean height of women age 20 years or older in a certain country is 62.1 inches. One hundred randomly selected women in a certain city had a mean height of 63.4 inches. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 4.4 inches.

a. Set up the hypotheses for the onemean z-test.

b. Identify the critical value(s).