A drug that is used for treating cancer has potentially dangerous side effects if it is taken in doses that are larger than the required dosage for the treatment. The pharmaceutical company that manufactures the drug must be certain that the standard deviation of the drug content in the tablet is not more than 0.1 mg. Twenty-five tablets are randomly selected and the amount of drug in each tablet is measured. The sample has a mean of 20 mg and a variance of 0.015 mg. a. Do the data suggest at a = 0.01 that the standard deviation of drug content in the tablets is greater than 0.1 mg? b. What assumption did you make about the amount of drug contained in the tablets in performing the test in part a.?