Percentage via standard deviation

Question

The mean height of adult men in the Dinaric Alps is 73 inches with a standard deviation of 3 inches. If the average height for the adult american man is 69 inches, what percent of adult men in the Dinaric Alps are taller than the average American man?

Answer 1

Hey Jordan -- the spread between means is 4 in. or 1.33 SD ...

 

one SD contains about 1/3 more population than the half above 73"  for a total of ~83% ...

 

1.33 SD spread means about 90% of Alpines are taller than average USA men :)