Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 5 - Normal Probability Distributions - Review Exercises - Page 288: 47

Answer

$133.27$ feet represents the 95th percentile

Work Step by Step

From the normal distribution table/Using technology, we find that the area 0.95 corresponds to a z-score of 1.645. So to find x: z = $\frac{x - \mu}{\sigma}$ $x$ = $\mu$ + $z\sigma$ $x$ = $127 + (3.81 \times 1.645)$ $x$ = $133.27$ feet $133.27$ feet represents the 95th percentile
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