Referring to Exercise 8.1:
a. How is the distribution of the sample height data on p. 344 related to: (1) The distribution of the population? (2) The sampling distribution of sample means?
b. Using the techniques of Chapter 7, find the limits that would bound the middle 90% of the sampling distribution of sample means for samples of size 50 selected randomly 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: (1) Draw a vertical line at the population mean of 63.7. (2) Draw a horizontal line segment showing the interval found in part b. Does the sample mean found in Exercise 8.1 (b) fall in the interval? Answer yes or no, and explain what this means.
d. Using the techniques of Chapter 7, find 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 the meaning of the resulting value.
e. Does the sample of 50 height data values appear to belong to the population described by the NCHS? Explain.