Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - Review - From Data To Decision - Page 320: 1

Answer

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

Work Step by Step

We know that the 95th percentile corresponds to a z-score of $±1.65$. Hence, 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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