Question: (12 points) A drug for treating headaches has a side effect of lowering diastolic blood pressure by 8 mm Hg compared to a placebo. If the population standard deviation is known to be \(\sigma \) = 6 mm Hg,

(a) What would be the power of an experiment (a = 0.01, two tailed) comparing the drug to a placebo using 15 participants per group?

(b) How many participants would you need per group to attain power = .95, with = 0.01, two-tailed?