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: 3.62

Answer

a (i) 75% (ii) 88.89% b. k = 2.5

Work Step by Step

a. (i) $x±2s, k=2, 1-\frac{1}{2^2} = 3/4*100 = 75% 2365±2(340) = [1685, 3045]$ (ii) $x±3s, k=3, 1-\frac{1}{3^2} = (1-1/9)\times100 = 88.89% 2365±3(340) = [1345, 3385]$ b. $1-1/(k^2) = 0.84$ $K^2 = 1/0.16$ $K = 2.5$
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