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: 24a

Answer

P(X > 34) = 0.2843. This implies that about 28 out of 100 samples will have a mean mileage greater than 34 mpg.

Work Step by Step

Since the distribution is normal, we can use the z score: $z = \frac{34-32}{3.5} = 0.57$ P(X > 34) = P(z > 0.57) = 0.2843
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