SOLUTION: Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Show all wo

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Question 381194: Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Show all work.
(A) Find the proportion of female college students whose height is greater than 67 inches.
(B) Find the proportion of female college students whose height is no more than 67 inches.
Answer by stanbon(75887) About Me  (Show Source):
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Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Show all work.
(A) Find the proportion of female college students whose height is greater than 67 inches.
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z(67)=(67-65)/2.75 = 0.723
Prop(x> 67 inc) = P(z> 0.723) = 0.2348
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(B) Find the proportion of female college students whose height is no more than 67 inches.
Prop(x<= 67) = P(z <= 0.2348) = 0.7652
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Cheers,
Stan H.