Refer to Exercise 37. a. Find the probability of getting a difference in sample means xMxB thats
Question:
Refer to Exercise 37.
a. Find the probability of getting a difference in sample means x¯M−x¯B that’s less than 0 mg/dl.
b. Should we be surprised if the sample mean cholesterol level for the 14-year-old boys exceeds the sample mean cholesterol level for the men? Explain your answer.
Exercise 37.
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 .
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