Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 6 - Normal Probability Distributions - Review - From Data to Decision - Page 314: 1

Answer

Men range from 21.69 to 25.32, and women range from 21.05 to 24.35.

Work Step by Step

We know that the 95th percentile corresponds to a z-score of $\pm1.65$. Thus, for women, we find: $max_{women}=22.7+(1)(1.65)=24.35$ $min_{women}=22.7+(1)(-1.65)=21.05$ For men, we find: $max_{men}=23.5+(1.1)(1.65)=25.32$ $min_{men}=23.5+(1.1)(-1.65)=21.69$
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