Larger sample Suppose that the blood cholesterol level of all men aged 20 to 34 follows the
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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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