Question

The total cholesterol levels of a sample of men aged​ 35-44 are normally distributed with a mean of 204 204 milligrams per deciliter and a standard deviation of 36.7 36.7 milligrams per deciliter. ​(a) What percent of the men have a total cholesterol level less than 227 227 milligrams per deciliter of​ blood? ​(b) If 244 244 men in the​ 35-44 age group are randomly​ selected, about how many would you expect to have a total cholesterol level greater than 265 265 milligrams per deciliter of​ blood? Round to two decimals

Answer 1

Hello Sir/ Mam

Given Data :

(a) Percentage of men having level less than 227 = 73.46%

P- Value of z using Excel Formula "=NORM.S.DIST(0.626703,TRUE)" comes out to be 0.734573, i.e. 73.46%

(b) The required number of persons = 11.77

P- Value of z using Excel Formula "=NORM.S.DIST(1.662125,TRUE)" comes out to be 0.951756, i.e. 95.1756%.

Hence, the required p-value = 1 - 0.951756 = 0.048244, i.e. 4.8244%

Hence, Number of men falling in this category = 4.8244% of 244 = 11.77men.

I hope this solves your doubt.

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