Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 9 - Inferences from Two Samples - 9-4 Two Dependent Samples (Matched Pairs) - Basic Skills and Concepts: 11

Answer

$\mu_d$ is between 1 and 12

Work Step by Step

The corresponding critical value using the table with df=12-1=11: $t_{\alpha/2}=t_{0.05}=1.796.$ The margin of error: $E=t_{\alpha/2}\frac{s_d}{\sqrt{n}}=1.796\frac{10.6301}{\sqrt{12}}=5.5.$ Hence the confidence interval $\mu_d$ is between $\overline{d}-E$=6.5-5.5=1 and $\overline{d}+E$=6.5+5.5=12.
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