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 - Page 475: 15


$\mu_d$ is between -6.5 and -0.1.

Work Step by Step

The corresponding critical value using the table with df=6-1=5: $t_{\alpha/2}=t_{0.025}=2.571.$ The margin of error: $E=t_{\alpha/2}\frac{s_d}{\sqrt{n}}=2.571\frac{3.0111}{\sqrt{6}}=3.2.$ Hence the confidence interval $\mu_d$ is between $\overline{d}-E$=-3.3-3.2=-6.5 and $\overline{d}+E$=-3.3+3.2=-0.1. The interval is completely under 0, hence if the 13th is a Friday, the number of admissions in a hospital are less than usually.
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