12. Heights and Gender It is a well-accepted fact that males are taller on the average than females. But how much taller? The genders and heights of 105 biomedical students are summarized here.

a. Perform a test of hypothesis to either confirm or refute our initial claim that males are taller on the average than females? Use a5.01.

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

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Males Females Sample Size 48 77 Sample Mean 69.58 64.43 Sample Standard Deviation 2.62 2.58