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: 9.35c

Answer

0.5156 to 3.484

Work Step by Step

df = n - 1 = 6 - 1 = 5 $t_{α/2} = 0.025$ From student's t distribution table, we have: $t_{0.025} = 2.571$ $E = 2.571 . \frac{\sqrt 2}{\sqrt 6} = 2.571 . 0.577 = 1.484$ Confidence interval will be: $\bar d - E = 2 - 1.484 = 0.5156$ $\bar d - E = 2 + 1.484 = 3.484$
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