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Question: Larger sample Suppose that the blood cholesterol level of all men aged 20 to 34 follows the Normal distribution with mean m = 188 milligrams per deciliter (mg/dl) and standard deviation s = 41 mg/dl.

(a) Choose an SRS of 100 men from this population. Describe the sampling distribution of x -.

(b) Find the probability that x - estimates m within ±3 mg/dl. (This is the probability that x - takes a value between 185 and 191 mg/dl.) Show your work.

(c) Choose an SRS of 1000 men from this population. Now what is the probability that x - falls within ±3 mg/dl of m? Show your work. In what sense is the larger sample "better"?

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