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: 3.60

Answer

$ a. 220±20k= [180, 260], k = (220-180)\div20 = 2 $ $Minimum \ percentage = 1-\frac{1}{2^2} = 3/4*100 = 75%$ $b. 220±20k = [160, 280], k = (220-160)\div20 = 3$ $Minimum \ percentage = 1-\frac{1}{3^2} = 8/9*100 = 88.89%$ $c. 220±20k = [170, 270], k = (220-170)\div20 = 2.5$ $Minimum \ percentage = 1-\frac{1}{2.5^2} = 0.84*100 = 84%$

Work Step by Step

$ a. 220±20k= [180, 260], k = (220-180)\div20 = 2 $ $Minimum \ percentage = 1-\frac{1}{2^2} = 3/4*100 = 75%$ $b. 220±20k = [160, 280], k = (220-160)\div20 = 3$ $Minimum \ percentage = 1-\frac{1}{3^2} = 8/9*100 = 88.89%$ $c. 220±20k = [170, 270], k = (220-170)\div20 = 2.5$ $Minimum \ percentage = 1-\frac{1}{2.5^2} = 0.84*100 = 84%$
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