Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 9 - Testing the Difference Between Two Means, Two Proportions, and Two Variances - Review Exercises - Section 9-5 - Page 541: 11



Work Step by Step

Given $n1=11, s1=4.1, n2=24, s2=13.2$ a. State the hypotheses and identify the claim. $H_o: \sigma^2_1=\sigma_2^2$ $H_a: \sigma^2_1\ne\sigma_2^2$ (claim, two tail test) b. Find the critical value(s). $\alpha/2=0.05, df_N=23, df_D=10, F_c=2.74$ (use $df_N=24$) c. Compute the test value. $F=\frac{13.2^2}{4.1^2}=10.4$ d. Make the decision. As $F>F_c$, we reject the null hypothesis. e. Summarize the results. At $\alpha=$ 0.10, there is a significant difference between the standard deviations of these two areas
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.