Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Section 3.4 - Assess Your Understanding - Applying the Concepts - Page 171: 14

Answer

A bolt will be destroyed if its length is greater than 8.1 cm or less than 7.9 cm.

Work Step by Step

$z=\frac{x-μ}{σ}$ Higher end: z = 2, μ = 8, σ = 0.05, x = ? $2=\frac{x-8}{0.05}$ $x-8=2\times0.05=0.1$ $x=0.1+8=8.1$ Lower end: z = -2, μ = 8, σ = 0.05, x = ? $-2=\frac{x-8}{0.05}$ $x-8=-2\times0.05=-0.1$ $x=-0.1+8=7.9$
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