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Question: Cholesterol The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean 188 milligrams per deciliter (mg/dl) and standard deviation 41 mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with mean 170 mg/dl and standard deviation 30 mg/dl. Suppose we select independent SRSs of 25 men aged 20 to 34 and 36 boys aged 14 and calculate the sample mean cholesterol levels x¯_M and x¯_B.

(a) What is the shape of the sampling distribution of x¯_M- x¯_B? Why?

(b) Find the mean of the sampling distribution. Show your work.

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Category:- Statistics and Probability
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