Agovernment sample survey plans to measure the total cholesterol level of an srs of men aged 20–34 . 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 =37 mg/dl. use table a to answer the questions, where necessary. choose an srs of 1000 men from this population. now what is the probability that x¯ falls within ±2 mg/dl of ? (enter your answer rounded to three decimal places.) probability: 1 the larger sample is much more likely to give an accurate estimate of .