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 132: 8

Answer

It means that the boy's height is $1.88$ standard deviations below the American 2-year-old boy's mean.

Work Step by Step

$z=\frac{y-\mu}{\rho}$ $-1.88=\frac{y-\mu}{\rho}$ $y-\mu=-1.88\rho$ $y=\mu-1.88\rho$ It means that the boy's height is $1.88$ standard deviations below the American 2-year-old boy's mean.
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