Assume the heights of men are normally distributed with a me

Assume the heights of men are normally distributed with a mean of 67.7 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 68.7 inches

a. .9005

b..9976

c..0021

d..0210

Solution

P( Z > [68.7-67.7] / [2.8 / srqt(64) ] )

P( z > 2.86)=0.0021