Stats Modeling the World, 4th Edition

Published by Pearson
ISBN 10: 0133151549
ISBN 13: 978-0-13315-154-1

Chapter 5 - The Standard Deviation as a Ruler and the Normal Model - Exercises - Page 133: 27

Answer

$984$ pounds

Work Step by Step

A weight that is 2 standard deviations below the mean, that is, a weight with $z=-2$: $z=\frac{y-\mu}{\rho}$ $y=\mu+z\times\rho=1152-2\times84=984$ The answer is a weight of $984$ pounds. Values that are more than $2$ standard deviations from the mean are considered unusual because they occur in less than $5\%$ of the cases in a normal distribution.
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