Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Section 3.2 - Assess Your Understanding - Applying the Concepts - Page 156: 45c

Answer

Bond mutual funds: $Proportion=\frac{5}{8}=0.625$ Stock mutual funds: $Proportion=\frac{5}{8}=0.625$

Work Step by Step

Bond mutual funds: $x̅-1s=2.375-0.669=1.706$ and $x̅+1s=2.375+0.669=3.044$ So, 2.0, 2.4, 2.7, 1.8, 1.9 are within one standard deviation of the mean; that is, there are 5 observations within one standard deviation of the mean. $Proportion=\frac{5}{8}=0.625$ Stock mutual funds: $x̅-1s=8.0125-0.903=7.1095$ and $x̅+1s=8.0125+0.903=8.9155$ So, 8.4, 7.4, 8.1, 7.6, 7.2 are within one standard deviation of the mean; that is, there are 5 observations within one standard deviation of the mean. $Proportion=\frac{5}{8}=0.625$
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