Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 3 - Section 3.4 - Use of Standard Deviation - Exercises - Page 107: 3.56

Answer

$x±2s, k=2, 1-\frac{1}{2^2} = 3/4*100 = 75%$ $74±2(12) = [50,98]$ $x±2.5s, k=2.5, 1-\frac{1}{2.5^2} = (1-0.16) \times100 = 84%$ $74±2.5(12) = [44, 104]$ $x±3s, k=3, 1-\frac{1}{3^2} = (1-1/9)\times100 = 88.89%$ $74±3(12) = [38, 110]$

Work Step by Step

$x±2s, k=2, 1-\frac{1}{2^2} = 3/4*100 = 75%$ $74±2(12) = [50,98]$ $x±2.5s, k=2.5, 1-\frac{1}{2.5^2} = (1-0.16) \times100 = 84%$ $74±2.5(12) = [44, 104]$ $x±3s, k=3, 1-\frac{1}{3^2} = (1-1/9)\times100 = 88.89%$ $74±3(12) = [38, 110]$
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