SOLUTION: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also nor

Algebra ->  Average -> SOLUTION: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also nor      Log On


   



Question 1170926: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?
z =
c) Who is relatively taller?
The 6 foot 3 inch American man
The 5 foot 11 inch American woman

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
=(75-69.1)/2.69=2.19
-
=(71-64.5)/2.56=2.54
The 5' 11" woman is relatively taller.