The total eveks of a sample of men aged 35 44 are normally distributed with a me

Question

The total eveks of a sample of men aged 35 44 are normally distributed with a mean of 209 milligrams per deciliter and a standard deviation of 36 6 (a) What percent of the men have a total cholesterol lovel less than 231 milligrams per deciliter of blood? (b) If 246 men in the 35-44 age group are randomly selected, about how many would you expect to have a total cholesterol level greater than 263 millgrams per decilter of blood? citer of blood (a) The percent of the men that have a total (Round to two decimal places as needed) ch sterol level less than 231 m grams per % (b) of the 246 mon selected, would be expectod to havo a total cholesterol level groater than 263 millgrams per deciliter of blood

Explanation / Answer

Solution:

Given,
Mean = 209 milligram per deciliter.
Standard deviation = 36.6 milligram per deciliter.
Sample size n = 246 men
a) The percent of men that have a total cholesterrol level less than 214 milligram per deciliter of blood is,
P(X 231) = P(X - / 231 - 209/36.6)  
=P(Z 0.6011)
= normsdist(0.0535 ) (Using excel function)
= 0.7261
Therefore, the percent of men that have a total cholesterrol level less than 231 milligram per deciliter of blood is 72.61%

b) The expected to have a total cholestrol level greater than 263 milligram per deciliterof blood is,
P(X 263) = P(X - /(/n) 263 - 209/(36.6/246))
= 1- P(Z 23.1409) (Using excel function)
= 1- 1 = 0

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