9 Larger Sample More Accurate Estimate Suppose that in fact the total cholesterol level of all men aged 20 34 follows the Normal distribution with mean 182 milligrams per deciliter mg dL and standard deviation o 37 mg dL a Choose an SRS of 100 m men from this population What is the sampling dis tribution of x What is the probability that x takes a value between 180 and 184 mg dL This is the probability that x estimates within 2 mg dL b Choose an SRS of 1000 men from this population Now what is the prob ability that x falls within 2 mg dL of u The larger sample is much more likely to give an accurate estimate of u