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: 18

Answer

a) $1.08$ standard deviations below the mean. b) A car going $10$ mph would be more unusual.

Work Step by Step

a) $z=\frac{y-\mu}{\rho}=\frac{20-23.84}{3.56}=-1.08$ The answer is $1.08$ standard deviations below the mean. b) $z=\frac{y-\mu}{\rho}=\frac{34-23.84}{3.56}=2.85$ $z=\frac{y-\mu}{\rho}=\frac{10-23.84}{3.56}=-3.89$ A car going $10$ mph would be more unusual.
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