SOLUTION: The mean height of women in a country​ (ages 20−​29) is 64.1 inches. A random sample of 65 women in this age group is selected. What is the probability that the m

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Question 1075123: The mean height of women in a country​ (ages 20−​29) is 64.1 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 ​inches? Assume σ=2.67
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z)=(x-mean)/sigma/sqrt (n)
=(65-64.1)/2.67/sqrt (65)
=0.9*sqrt(65)/2.67=2.72
It is probability z>2.72, and that is 0.0033.