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: 11

Answer

In July

Work Step by Step

January: $z=\frac{y-\mu}{\rho}$ $z=\frac{55-36}{10}=1.9$ July: $z=\frac{y-\mu}{\rho}$ $z=\frac{55-74}{8}=-2.375$ The answer is in July because 55 F is further away from its mean than in January given that, in July, 55 F is 2.375 standard deviations below its mean and in January 55 F is 1.9 standard deviation above the mean.
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