The heights of men in America are normally distributed, with the mean of 69.5 inches and the standard deviation of 2.63 inches. What is the z score of a 6’4 man and z score of a 5’11 women.

Answer 1

mean=69.5", man= 6'4"= 76" sd=2.63, woman =5'11"=71"

z= (x-mean)/sd

man's z=(76-69.5)/2.63= 6.5/2.63

woman's z score= (71-69.5)/2.63= 1.5/2.63