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 210 milligrams per deciliter and a standard deviation of 37.5 milligrams per deciliter.
(a) what percent of the men have a total cholesterol level less than 221 milligrams per deciliter of blood? he total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 210 milligrams per deciliter and a standard deviation of 37.5 milligrams per deciliter. (a) What percent of the men have a total cholesterol level less than 221 milligrams per deciliter of blood? (b) If 253 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 254 milligrams per deciliter of blood? (a) The percent of the men that have a total cholesterol level less than 221 milligrams per deciliter of blood is DJs. Round to two decimal places as needed.) (b) Of the 253 men selected, would be expected to have a total cholesterol level greater than 254 milligrams per deciliter of blood. Round to the nearest integer as needed.)

Explanation / Answer

SolutionA:

mean=210 mm

sd=37.5 mm

P(X<221)

z=x-mean/sd/sqrt(n)

=221-210/37.5

=0.2933

P(Z<0.2933)

=0.6141

ANSWER:0.6141

Solutionb:

P(X>254)

P(Z>254-210/37.5)

P(Z>1.173)

=1-P(Z<1.173)

=1-0.879

=0.121

sample size=253=n

Expected people to ahve mean > 254 is

=0.121*253

=30.613

=31

31 would be expected to have a total chloesterol level greater than 254 mg per deciliter of blood

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