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: 9.34d

Answer

-10.506 to -3.494

Work Step by Step

df = n - 1 = 16 - 1 = 15 $t_{α/2} = 0.05$ From student's t distribution table, we have: $t_{0.05} = 1.753$ $E = 1.753 . \frac{8}{\sqrt 16} = 1.753 . 2 = 3.506$ Confidence interval will be: $\bar d - E = -7 - 3.506 = -10.506$ $\bar d - E = -7 + 3.506 = -3.494$
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