3. (10 points total) Recall the Cholesterol Example from class where we were inter- ested in the mean serum cholesterol level for the hypertensive male smokers sub- population (a). We obtained a random sample of 36 hypertensive male smokers, calculated the sample mean (:17), and assumed the standard deviation of this sub- population was known to be a = 46 mg / 100 1111. Previously, our decision rule was to reject the null hypothesis if :E 226. H0:,u=211 HA:,u7211 This decision rule was obtained such that, under the null hypothesis distribution of X\