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 20minus29) 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) (Show Source): You can put this solution on YOUR website!
The mean height of women in a country (ages 20minus29) 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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