a. Are the assumptions of the confidence interval and hypothesis test methods of this chapter satisfied? Explain.

b. Using the sample data and a 95% level of confidence, estimate the mean height of females in the health profession.

Use the given population standard deviation of 2.75 inches.

c. Test the claim that the mean height of females in the health profession is different from 63.7 inches, the mean height for all females in the United States. Use a 0.05 level of significance.

d. On the same histogram used in part b of Exercise 8.1 on page 396:
(i) Draw a vertical line at the hypothesized population mean value, 63.7.
(ii) Draw a horizontal line segment showing the 95% confidence interval found in part b.

e. Does the mean   63.7 fall in the interval?
Explain what this means.

f. Describe the relationship between the two lines drawn on your graph for part c of Exercise 8.2 on page 396 and the two lines drawn for part d of this exercise.
g. On the basis of the results obtained earlier, does it appear that the females in this study, on average, are the same height as all females in the United States as reported by the NCHS? Explain.