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: 34

Answer

$x$ = $58.96$

Work Step by Step

i ) z score corresponding to the 90th percentile (area of 0.90) = 1.28 ii) Sub $\sigma = 7 , \mu= 50, z = 1.28$ into z = $\frac{x - \mu}{\sigma}$ and solve for x: z = $\frac{x - \mu}{\sigma}$ $x$ = $\mu$ + $z\sigma$ $x$ = $50 + (1.28 \times 7)$ $x$ = $58.96$
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