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: 29d

Answer

$P(X \leq 35) = 0.0793$. This implies that about 8 out of the 100 samples of size 35 will have a mean time less than or equal to 1.89 hours. Since the probability is not unusual, we can not conclude that avid internet users watch less television.

Work Step by Step

Here n = 35 $σ_{x̅} = \frac{σ}{n} = \frac{1.93 }{\sqrt 35} = 0.319$ $z = \frac{x̅ - μ}{σ_{x̅}} = \frac{1.89 - 2.35}{0.319} = -1.41$ $P(X \leq 35) = P(z < -1.41) = 0.0793$
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