Elementary Statistics (12th Edition)

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

Chapter 9 - Inferences from Two Samples - 9-5 Two Variances or Standard Deviations - Basic Skills and Concepts - Page 484: 13


Reject the null hypothesis.

Work Step by Step

$H_{0}:\sigma_1=sigma_2,$ $H_{a}:\sigma_1\ $ is more than $ \sigma_2$. :$F=\frac{s_1^2}{s_2^2}=\frac{10.6383^2}{5.2129^2}=4.1467.$ The critical values by the table with df=min(11,11)=11: $f_{0.05}$ is between 2.7876 and 2.8536. If the value of the test statistic is in the rejection region, reject the null hypothesis. 2.8536 is less than 4.1467, hence we reject the null hypothesis.
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.