According to a National Health Survey, American men's heights are normally distributed with a mean ...

Question

According to a National Health Survey, American men's heights are normally distributed with a mean given by μ= 69.7 inches and a standard deviation given by σ=2.8 inches. If a man is randomly selected, find the probability that his height is between 68 and 72 inches.

Answer 1

69.7 - 68)/2.8 = .607143 = left z score

(72-69.7)/2.8 = .821429 = right z score

use z tables or a z calculator

.0661 = 6.61% probability a man randomly selected is between 68 and 72, if mean = 69.7 and sd=2.8