Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 7 - Section 7.2 - Assess Your Understanding - Vocabulary and Skill Building - Page 378: 33

Answer

$x$ = $40.62$

Work Step by Step

i) z score corresponding to 9th percentile = -1.34 ii) Substitute z = -1.34, $\sigma$ = 7 and $\mu$ = 50 into z = $\frac{x - \mu}{\sigma}$ z = $\frac{x - \mu}{\sigma}$ $x$ = $\mu$ + $z\sigma$ $x$ = $50 + (-1.34 \times 7)$ $x$ = $40.62$
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