A US. Navy recruiting center knows from past experience that the mean height of its recruits is 68 inches. The recruiting center wants to test the claim that the average height of this year’s recruits is greater than 68 inches. To do this, recruiting personnel take a random sample of 64 recruits from the past year and record their heights (in inches). These data are provided in the file P10_4.XLS. Before conducting an appropriate statistical test, the recruiters would like to check whether the given distribution of heights is normally distributed.

a. On the basis of the available information, do the recruiters find support for the normality assumption at the 10% significance level? Explain.

b. On the basis of the available information, do the recruiters find support for the normality assumption at the 1% significance level? Explain.