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 - Skill Building - Page 550: 3d

Answer

We can say with 95% confidence that the mean difference is between -3.39 and 0.16.

Work Step by Step

Here we have α = 0.05 and n = 7. df = 7 - 1 = 6 α/2 = 0.025 Using Student's t distribution table, we have: $t^{*} = 2.447$ $E = t^{*} . s_{d}/\sqrt n$ $ = 2.447. 1.915/\sqrt 7 = 2.447 \times 0.724 = 1.771$ $\bar d - E = -1.614 - 1.771 = -3.39$ $\bar d + E = -1.614 + 1.771 = 0.16$
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