A pharmaceutical company wishes to test a new drug with the expectation of lowering cholesterol levels. Eight subjects
are randomly selected and pretested. The results are listed below. The subjects were placed on the drug for a period of
6 months, after which their cholesterol levels were tested again. The results are listed below. (All units are milligrams per
deciliter.) Test the company's claim that the drug lowers cholesterol levels. Assume the samples are random and
dependent, and the populations are normally distributed. Use a significance level of 1%.