SOLUTION: Assume that the heights of men are normally distributed with a mean of 68.9 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability tha
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Question 1159168: Assume that the heights of men are normally distributed with a mean of 68.9 inches and a standard deviation of 2.8 inches. If 64 men are randomly selected, find the probability that they have a mean height greater than 68.5 inches. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! this probability is z>(68.5-68.9)/2.8/sqrt(64), basically the difference from the mean divided by some measure of the variance, here the std deviation/ sqrt of sample size.
z> -0.4*8/2.8
z>-3.2/2.8 or -1.143
that probability is 0.8735
