Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321755936
ISBN 13: 978-0-32175-593-3

Chapter 9 - Inferences Based on Two Samples - Exercises 9.30 - 9.50 - Learning the Mechanics - Page 435: 9.35d

Answer

Reject Null hypothesis

Work Step by Step

$t = \frac{2}{\sqrt 2/\sqrt 6} = 2 / 0.577 = 3.464$ df = n - 1 = 6 - 1 = 5 $t_{α/2} = 0.025$ From student's t distribution table, we have: $t_{0.025} = 2.571$ Hence rejection region will contain values larger than 2.571 Since t > 2.571, we reject Null hypothesis
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