Answer: e. test for a difference in two population means
Explanation:
Since the researcher takes a random sample of patients and measures their cholesterol levels before and after a treatment cycle of the drug, then the two samples are matched pairs. The difference between both samples would be determined and the mean and standard deviation of this difference is calculated. This would be used to determine the test statistic.
Therefore, the type of hypothesis test that they should use is
e. test for a difference in two population means