A government 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 .