Suppose that the blood cholesterol levels of all men aged 20 to 34 years follows the Normal distribution with mean =188 milligrams per deciliter (mg/dl) and standard deviation =41 mg/dl.
(a) Choose an SRS of 100 men from this population. What is the sampling distribution of ¯ ?
The sampling distribution of ¯ is (188 mg/dl,4.1 mg/dl) .

What is the probability that ¯ takes a value between 185 and 191 mg/dl? This is the probability that ¯ estimates within ±3 mg/dl. (Enter your answer rounded to four decimal places.)

Part 2:(b) Choose an SRS of 1000 men from this population. What is the sampling distribution of ¯ ? (188 mg/dl,1.2965 mg/dl) .