Suppose that, in fact, the total cholesterol level of all men aged 20-34 follows the Normal distribution with mean µ = 182 milligrams per deciliter (mg/dL) and standard deviation σ = 37 mg/dL.
Do choose an SRS of 1000 men from this population. Now what is the probability that the sample mean (x) falls within ±2 mg/dL of µ?
![Suppose that in fact the total cholesterol level of all men aged 2034 follows the Normal distribution with mean µ 182 milligrams per deciliter mgdL and standard class=](https://us-static.z-dn.net/files/df9/d48fdc21dccb89e4540e984dd7708b22.png)