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Watch your cholesterol: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent...

Watch your cholesterol: The National Health and Nutrition Examination Survey (NHANES) reported that in a recent year, the mean serum cholesterol level for U.S. adults was 202, with a standard deviation of 41 (the units are milligrams per deciliter). A simple random sample of 110 adults is chosen.

a.

What is the probability that the sample mean cholesterol level is greater than 210?

b.

What is the probability that the sample mean cholesterol level is between than 190 and 200?

c.

Would it be unusual for the sample mean to be less than 198?

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