10.8 Larger sample, more accurate estimate. The blood cholesterol level of all men aged 20 to 34 follows a population distribution with mean fx = 188 milligrams per deciliter

(mg/dl) and standard deviation cr = 41 mg/dl.

(a) Choose an SRS of 100 men ftom this population. According to the central limit theorem, what is the approximate sampling distribution of x ? What is the probability that X takes a value between 185 and 191 mg/dl? This is the probability that x estimates fx within ±3 mg/dl.

(b) Choose an SRS of 1000 men from this population. Now what is| the probability that X falls within ±3 mg/dl of fx ? The larger sample is much more likely to give an accurate estimate of fx.