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 216 milligrams per deciliter and a standard deviation of 38.5 milligrams per deciliter. What percent of the men have a total cholesterol level less than 227 milligrams per deciliter of blood? If 254 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 258 milligrams per deciliter of Wood? The percent of the men that have a total cholesterol level less than 227 milligrams per deciliter of blood is (Round to two decimal places as needed.) Of the 254 men selected. would be expected to have a total cholesterol level greater than 258 milligrams per deciliter of blood. (Round to the nearest integer as needed.)

Explanation / Answer

std error =std deviatrion/(n)1/2 =13.553

a)hence P(X<227)=P(z<(227-216)/38.5)=P(Z<0.2857)=0.6125

hence 61.25%

b) P(X>258)=1-P(X<258)=1-P(Z<(258-216)/38.5)=1-P(Z<1.0909)=1-0.8623 =0.1377

hence number of people having cholestrol level higher then 258 mg =np=254*0.1377~35

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