a. How is the distribution of the sample height data in Section 8.1 related to the distribution of the population and the sampling distribution of sample means?

b. Using the techniques in Chapter 7, find the limits that would bound the middle 90% of the sampling distribution of sample means for samples of size 50 randomly selected from the population of female heights with a known mean of 63.7 inches and a standard deviation of 2.75 inches.

c. On the histogram drawn in Exercise 8.1, draw a vertical line at the population mean of 63.7 and draw a horizontal line segment showing the interval found in part

b. Does the sample mean found in part b of Exercise 8.1 fall in the interval? Explain what this means.

d. Using the techniques of Chapter 7, find P(x 64.7) for a random sample of 50 drawn from a population with a known mean of 63.7 inches and a standard deviation of 2.75 inches. Explain what the resulting value means.

e. Does the sample of 50 height data values appear to belong to the population described by the NCHS? Explain.