Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0-32191-121-0
ISBN 13: 978-0-32191-121-6

Chapter 7 - Hypothesis Testing with One Sample - Section 7.2 Hypothesis Testing for the Mean - Exercises - Page 374: 27

Answer

Reject $H_{o}$ at α = 0.05

Work Step by Step

$z = \frac{x̄ - μ}{σ/\sqrt n}$ $z = \frac{39.2-40}{1.97/\sqrt 5}$ $ = \frac{-0.8}{0.394}$ = -2.03 P(z < -2.03 or z > 2.03) = 0.0424 < α Hence reject $H_{o}$ at α = 0.05
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