Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 8 - Section 8.1 - Assess Your Understanding - Applying the Concepts - Page 412: 28c

Answer

$P(X\geq22.1)=0.0015$ Since $P(X\geq22.1)\lt0.05$, it is unusual. This result contradicts the BK's rate of 20 cars every hour between 12:00 noon and 1:00 P.M. But, unusual is not impossible.

Work Step by Step

$μ_{X ̅}=20~cars$ and $σ_{X ̅}=0.707~cars$ Let's find the z-score for 22.1: $z=\frac{X-μ}{σ}=\frac{22.1-20}{0.707}=2.97$ According to Table V, the area of the standard normal curve to the left of z-score equal to 2.97 is 0.9985. But, we want the area of the standard normal curve to the right of z-score equal to 2.97: $1-0.9985=0.0015$ $P(X\geq22.1)=0.0015\lt0.05$. It is an unusual event.
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