SOLUTION: The mean height of women in a country​ (ages 20minus​29) is 63.6 inches. A random sample of 75 women in this age group is selected. What is the probability that the mea

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Question 1117998: The mean height of women in a country​ (ages 20minus​29) is 63.6 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 ​inches? Assume sigmaequals2.98.
The probability that the mean height for the sample is greater than 64 inches is?
Answer by stanbon(75887) About Me  (Show Source):
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The mean height of women in a country​ (ages 20minus​29) is 63.6 inches. A random sample of 75 women in this age group is selected.
What is the probability that the mean height for the sample is greater than 64 ​inches? Assume sigmaequals2.9
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z(64) = (64-63.6)/[2.98/sqrt(75)] = 0.0582
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P(x-bar > 64) = P(z > 0.0582) = normalcdf(0.0582,100) = 0.4768
The probability that the mean height for the sample is greater than 64 inches is
47.68%
Cheers,
Stan H.
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