SOLUTION: The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 70 women in the age group is selected. What is the probability that the mean height for the sa
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Question 1043035: The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 70 women in the age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume the standard deviation is 2.88. Round to four decimal places as needed. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The mean height of women in a country (ages 20-29) is 64.4 inches. A random sample of 70 women in the age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume the standard deviation is 2.88. Round to four decimal places as needed.
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Mean of the sample means = 64.4
Std of the sample means == 2.88/sqrt(70)
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z(65) = (65-64.4)/(2.88/sqrt(70)) = 1.7430
P(x-bar > 65) = P(z > 1.74) = normalcdf(1.7430,100) = 0.0407
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Cheers,
Stan H.
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