9.80 Heights and Gender It is a well-accepted fact that males are taller on average than females. But how much taller? The heights and genders of 105 bio- medical students were recorded and the data are sum- marized below:

a. Perform a test of hypothesis to either confirm or refute our initial claim that males are taller on aver- age than females. Use a = 0.01.

b. If the results of part a show that our claim was cor- rect, construct a 99% confidence one-sided lower confidence bound for the average difference in heights between male and female students. How much taller are males than females?

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Sample size Sample mean (cm) Sample standard deviation Males Females 48 77 176.7 163.7 6.7 6.6