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 485: 18


Fail to reject the null hypothesis.

Work Step by Step

$H_{0}:\sigma_1=sigma_2,$ $H_{a}:\sigma_1\ne \sigma_2$. :$F=\frac{s_1^2}{s_2^2}=\frac{0.0576^2}{0.0501^2}=1.3218.$ The critical values by the table with df=min(12,24)=12: $f_{0.025}=2.5411$. If the value of the test statistic is in the rejection region, we reject the null hypothesis. 1.3218 is less than 2.5411, hence we fail to reject the null hypothesis.
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