The total cholesterol levels of a sample of men aged 35-44 are normally distribu

Question

The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 225 milligrams per deciliter and a standard deviation of 38.1 milligrams per deciliter. (a) What percent of the men have a total cholesterol level less than 214 milligrams per deciliter of blood? (b) If 248 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 252 milligrams per deciliter of blood? (a) The percent of the men that have a total cholesterol level less than 214 milligrams per deciliter of blood is nothing%. (Round to two decimal places as needed.) (b) Of the 248 men selected, nothing would be expected to have a total cholesterol level greater than 252 milligrams per deciliter of blood. (Round to the nearest integer as needed.)

Explanation / Answer

Result:

The total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 225 milligrams per deciliter and a standard deviation of 38.1 milligrams per deciliter.

Z value for 214, z =(214-225)/38.1 =-0.29

P( x <214) = P( z< -0.29) =0.3859

38.59%

Z value for 252, z =(252-225)/38.1 =0.71

P( x >252) = P( z > 0.71) =0.2389

0.2389*248 =59.24

We expect 59 persons have a total cholesterol level greater than 252 milligrams.

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