## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 9 - Inferences from Two Samples - 9-4 Two Dependent Samples (Matched Pairs) - Basic Skills and Concepts: 12

#### Answer

$\mu_d$ is between -66.8 and 49.8

#### Work Step by Step

The corresponding critical value using the table with df=10-1=9: $t_{\alpha/2}=t_{0.005}=3.25.$ The margin of error: $E=t_{\alpha/2}\frac{s_d}{\sqrt{n}}=3.25\frac{56.6789}{\sqrt{10}}=58.3.$ Hence the confidence interval $\mu_d$ is between $\overline{d}-E$=-8.5-58.3=-66.8 and $\overline{d}+E$=-8.5+58.3=49.8.

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