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 481: 4

Answer

No. See explanations.

Work Step by Step

a. State the hypotheses and identify the claim. $H_o: \mu\geq10$ $H_a: \mu\lt 10$ (claim, left tail test) b. Find the critical value(s). $\alpha=0.05, z_c=-1.645$ c. Compute the test value. $z=\frac{9.25-10}{2}=-0.375, P=0.354$ d. Make the decision. Since $P\gt \alpha$, we do not have enough evidence to reject the null hypothesis and support the claim. e. Summarize the results. We can not conclude that the claim is justified.
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