Quiz: Pre-Test for Final (Chap. 5, Tine Rening 2 Suams 6, 7 & 9) This Question:
ID: 3312909 • Letter: Q
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Quiz: Pre-Test for Final (Chap. 5, Tine Rening 2 Suams 6, 7 & 9) This Question: 1 pt 12 of 43 (8 complete) This Quiz: 43 pts poss The total cholesterol levels ot a sample ot men aged 35-44 are normally distibuted with a mean ot 216 milligrams per deciliter and a standard deviation of 37.2 milligrams per deciliter. (a) What percent of the men have a total cholesterol level less than 221 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 greate than 256 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 Round to two decimal places as needed.) b) Of the 248 men selected. would be expected to have a total cholesterol level greater than 256 milligrams per deciliter of blood Round to the nearest integer as needed.) Enter your answer in each of the answer boxes 2 Sign out 8:53 11 5 6 7 8 9 0Explanation / Answer
Solution:- Given mean = 216 and sd = 37.2
Formula: z = ( x - ) /
a) P(X < 221) = P(Z < (221 - 216)/37.2)
= P(Z < 0.1344)
= 0.5517
The percent of the men that have a total cholesterol level less than 211 milligrams per deciliter of blood 55.17%
b) x = 256, n = 248,
z = ( x - ) / (÷) = (256 - 216)/(37.2/sqrt(248)) = 16.9334
P (x > 256) = P (X > 16.9334 ) = 0
of the 248 men selected.0 would be expected to have a total cholesterol level greater than 256 milligrams per deciliter of blood
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