Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 8 - Section 8.1 - Assess Your Understanding - Applying the Concepts - Page 411: 21f

Answer

P = 0.05 (5%) means that the reading speed will be $93.9\approx 94$ wpm

Work Step by Step

For P = 0.95, z = 1.645. Here n = 20, hence: $σ_{x̄} = σ / \sqrt n = 10/\sqrt 20 = 2.24$ $z = \frac{x̄ - μ_{x̄}}{σ_{x̄}}$ $x̄ = μ_{x̄} + z.σ_{x̄} $ $= 90 + 1.645 (2.24)$ = $93.9\approx 94$ words per minute
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