Question

Assume that women’s heights are normally distributed with a mean given by μ = 63.4 in, and a standard deviation given by σ = 2.3 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 64 in. (b) If 43 women are randomly selected, find the probability that they have a mean height less than 64 in.

Answer 1

a. z = (64 - 63.4)/2.3

b. z = (64 - 63.4)/(2.3/Sqrt(43))

Answer 2

.2608