According to the National Center for Health Statistics, the average height of females in the United States is 63.7 inches with a standard deviation of 2.75 inches. Using the heights for the random sample of 50 female American health professionals in Exercise
8.1, page 344:
a. Test the claim that the mean height of females in the health profession is different from 63.7 inches, the mean height of all females in the United States. Use a 0.05 level of significance.
b. How is “there is a significant difference” (rejection of the null hypothesis) revealed in the confidence interval formed in Exercise
c. Explain how the confidence interval formed in Exercise
8.127(a) could have been used to test the claim (hypothesis test) of part a that the mean height of females in the health profession is different.
d. How would “there is no significant difference” (failure to reject the null hypothesis) be revealed with a confidence interval?