SOLUTION: Assume that the heights of men are normally distributed with a mean of 67.867.8 inches and a standard deviation of 2.82.8 inches. If 6464 men are randomly​ selected, find the

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Question 1119064: Assume that the heights of men are normally distributed with a mean of 67.867.8 inches and a standard deviation of 2.82.8 inches. If 6464 men are randomly​ selected, find the probability that they have a mean height greater than 68.868.8 inches. Round to four decimal places.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(xbar-mean)/sigma/sqrt(n)
This is z > (68.8-67.8)/2.8/sqrt(64) or a z>1/0.35 or z>2.86
This is a probability of 0.0021.