Question

#1. Assume that the heights of adult American women have a mean of 63.6 inches and a standard deviation of 2.5 inches. If 75 women are randomly selected, find the probability that they have a mean height less than 63 inches or greater than 65 inches.

a.)0.0188

b.)0.9811

c.) NOT enough information

d.)0.3071

e.)0.2119

If anyone could help me with this question and also provide explanation it would be much appreciated!

Answer 1

This is a normal distribution question with

Sample size (n) = 75

Since we know that

P(X < 63.0 or X > 65.0)=?

This implies that

P(X < 63.0 or X > 65.0) = P(z < -2.0783 or z > 4.8493) = 0.0188

PS: you have to refer z score table to find the final probabilities.
Please hit thumps up if the answer helped you