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

Answer

$\mu_d$ 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.