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 411: 24b

Answer

P(X > 34) = 0.0351 implies that if we take 1000 samples of size 10, 35 samples will have a mean mpg of greater than 34 mpg.

Work Step by Step

Here we have n = 10 $σ_{x̅} = \frac{σ}{n} = \frac{3.5 }{\sqrt 10} = 1.11$ $z = \frac{x̅ - μ_{x̅}}{σ_{x̅}} = \frac{34-32}{1.11} = 1.81$ P(X > 34) = P(z > 1.81) = 0.0351
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