Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Section 10.3 - Assess Your Understanding - Applying the Concepts - Page 503: 15

Answer

There is sufficient evidence that the hippocampal volumes in alcoholic adolescents are less than the normal volume of 9.02 cubic centimeters.

Work Step by Step

Here we have $H_{o}$: μ = 9.02, $H_{1}$: μ < 9.02, n = 12, x̅ = 8.10, s = 0.7 and α = 0.01 From Table-VI we have: $t_{0.01} = 2.718$ Using the classical approach: $σ_{ x̅} = \frac{s}{\sqrt n} = \frac{0.7}{\sqrt 12} = 0.202$ $t = \frac{8.10 - 9.02}{0.202} = -4.55$ -4.55 < -2.718, we reject the Null Hypothesis.
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