Question

Suppose that in fact, the blood cholesterol level of all men aged 20-34 follows the Normal distribution with mean µ = 186 milligrams per deciliter (mg/dl) and standard deviation σ = 41 mg/dl. a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? What is the probability that x takes a value between 183 and 189 mg/dl? This is the probability that x estimates µ within ± 3 mg/dl. b) Choose an SRS of 1000 men from this population. Now, what is the probability that x falls within ± 3 mg/dl of µ? The larger sample is much more likely to give an accurate estimate of µ.

          Suppose that in fact, the blood cholesterol level of all men aged 20-34 follows the Normal distribution with mean µ = 186 milligrams per deciliter (mg/dl) and standard deviation σ = 41 mg/dl.

a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? What is the probability that x takes a value between 183 and 189 mg/dl? This is the probability that x estimates µ within ± 3 mg/dl.

b) Choose an SRS of 1000 men from this population. Now, what is the probability that x falls within ± 3 mg/dl of µ? The larger sample is much more likely to give an accurate estimate of µ.

Added by Manuel P.

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