Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 11 - Section 11.2 - Assess Your Understanding - Applying the Concepts - Page 550: 5b

Answer

We reject the Null hypothesis.

Work Step by Step

Here we have α = 0.05 and n = 16. df = 16 - 1 = 15 Using the classical approach, we have: $t = \frac{\bar d - µ_{d}}{s_{d}/\sqrt n}$ $ = \frac{1.14 - 0}{1.75/\sqrt 16} = \frac{1.14}{0.4375} = 2.606$ Using Student's t distribution table, we have: t = 1.753 Hence the rejection region will be all values greater than 1.753 Since 2.606 > 1.753 , we will reject the Null Hypothesis.
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