Question

Assume that​ women's heights are normally distributed with a mean given by mu equals 63.2 in​, and a standard deviation given by sigma equals 2.1 in. complete parts a and

b.
a. if 1 woman is randomly​ selected, find the probability that her height is between 62.4 in and 63.4 in. the probability is approximately . 1863. ​(round to four decimal places as​ needed.)
b. if 7 women are randomly​ selected, find the probability that they have a mean height between 62.4 in and 63.4 in

Answer 1

a. Your answer is correct.

b. Divide the given value of sigma by √n where n = sample size = 7. Then perform the same calculation you did for part a. The probabiilty is 0.4427.