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 8 - Hypothesis Testing - Review Exercises - Section 8-2 - Page 480: 2

Answer

No, see explanations.

Work Step by Step

a. State the hypotheses and identify the claim $H_o: \mu=25.3$ $H_a: \mu\lt25.3$ (claim) (left tail test) b. Find the critical value(s). $\alpha=0.01, z_c=-3.1$ c. Compute the test value $z=\frac{23.9-25.3}{6.39/\sqrt {100}}=-2.2$. d. Make the decision. Since $z\gt z_c$, we fail to reject the null hypothesis can do not support the claim. e. Summarize the results. At the 0.01 level of significance, it cannot be concluded that the mean commuting time is less for this particular company.
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