Assume that the height of men are normally distributed with

Assume that the height of men are normally distributed with a mean of 70.3 inches and standard deviation of 3.5 inches. if 100 men are randomly selected, find the probability that they have a mean height greater than 71.3 inches.

Solution

P( x > 71.3 )

P( z > [71.3 - 70.3] / [ 3.5 / srqt (100) ] )

P( z > 2.86 )

using tables we have the probability that

P( z > 2.86 ) = 0.00212