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 1117999: 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 Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Assuming we know sigma, this is a z-test
z(x-xbar)/sigma/sqrt(n)
z=(64-63.6)/2.98/sqrt(75)
This is 0.4*sqrt(75)/2.98=1.16
That probability is 0.1230
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