SOLUTION: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69 inches and standard deviation s of 3.75 inches. Show all work

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Question 510154: Assume that the population of heights of male college students is approximately normally distributed with mean m of 69 inches and standard deviation s of 3.75 inches. Show all work.
(A) Find the proportion of male college students whose height is greater than 70 inches.
(B) Find the proportion of male college students whose height is no more than 70 inches

Answer by stanbon(75887) About Me  (Show Source):
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Assume that the population of heights of male college students is approximately normally distributed with mean m of 69 inches and standard deviation s of 3.75 inches. Show all work.

(A) Find the proportion of male college students whose height is greater than 70 inches.
z(70) = (70-69)/3.75 = 0.2667
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P(x > 70 inches) = P(z > 0.2667) = 0.3949
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(B) Find the proportion of male college students
whose height is no more than 70 inches
P(x <= 70) = 1-0.3949 = 0.6051
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Cheers,
Stan H.