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?

Step 1 of 4

Define a random variable for blood cholesterol level in men aged 20 to 34.

Then,