Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Review - Test - Page 524: 3

Answer

Since we reject the Null hypothesis, there is sufficient evidence that postpartum women do not get enough sleep.

Work Step by Step

Here we have $H_{o}$: μ = 8, $H_{1}$: μ < 8, n = 151, x̅ = 7.8, s = 1.4 and α = 0.05 Using the Classical approach: Using Table VI, we have: t = 1.655 Rejection Region < -1.655 $σ_{ x̅} = \frac{s}{\sqrt n} = \frac{1.4}{\sqrt 151} = 0.114$ $t = \frac{7.8-8}{0.114} = -1.755$ Since, 1.755 < -1.655, we will reject the Null hypothesis.
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