The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal
Question:
The level of cholesterol in the blood for all men aged 20 to 34 follows a Normal distribution with mean μM =188 
milligrams per deciliter (mg/dl) and standard deviation σM = 41 
mg/dl. For 14-year-old boys, blood cholesterol levels follow a Normal distribution with mean μB=170 
mg/dl and standard deviation σB=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.
c. Calculate and interpret the standard deviation of the sampling distribution.
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Step by Step Answer:
Given that MenX m BoysX b n 1 25 n 2 36 m 188 b 170 m 41 b 30 a The shape of sampling ...View the full answer
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