Question 1048106: The heights of women aged 20 to 29 follow approximately the N(64.2, 2.6) distribution. Men the same age have heights distributed as N(69.4, 3.0). What percent of women aged 20 to 29 are taller than the mean height of men aged 20 to 29? (Round your answer to two decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The heights of women aged 20 to 29 follow approximately the N(64.2, 2.6) distribution. Men the same age have heights distributed as N(69.4, 3.0). What percent of women aged 20 to 29 are taller than the mean height of men aged 20 to 29? (Round your answer to two decimal places.)
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z(69.4) = (69.4-64.2)/2.6 = 2
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P(x > 69.4) = P(z > 2) = normalcdf(2,100) = 0.02 = 2%
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Cheers,
Stan H.
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