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 9-1 - Page 540: 1

Answer

No, see explanations.

Work Step by Step

Based on the given data sets, we can calculate some parameters (1 for single, 2 for married) $\bar X1=120.1, n1=35, \sigma1=16.7$, and $\bar X2=117.8, n2=35, \sigma2=16.1$ a. State the hypotheses and identify the claim. $H_o: \mu1-\mu2=0$ $H_a: \mu1-\mu2\gt0$ (claim, right tail test) b. Find the critical value(s). $\alpha=0.01, z_c=2.33$ c. Compute the test value. $\sigma_{\bar X1-\bar X2}=\sqrt {\frac{\sigma_1^2}{n1}+\frac{\sigma_2^2}{n2}}=3.92$ $z=\frac{120.1-117.8}{3.92}=0.59$ d. Make the decision. Since $z\lt z_c$, we do not reject the null hypothesis. e. Summarize the results. At α= 0.01, it can not be concluded that single drivers do more driving for pleasure trips on average than married drivers
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