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

Published by McGraw-Hill Education

# Chapter 8 - Hypothesis Testing - Review Exercises - Section 8-3 - Page 481: 8

#### Answer

Yes, see explanations.

#### Work Step by Step

We first calculate some parameters from the data set. $n=9, \bar X=209.7, s=1.67$ a. State the hypotheses and identify the claim. $H_o: \mu\leq 208$ $H_a: \mu\gt208$ (claim, right tail test) b. Find the critical value(s). $\alpha=0.01, df=8, t_c=2.896$ c. Compute the test value. $t=\frac{209.7-208}{1.67/\sqrt 9}=3.05$ d. Make the decision. Since $t\gt t_c$, we have enough evidence to reject the null hypothesis and support the claim. e. Summarize the results. At a = 0.01,there is sufficient evidence to conclude that the weight is greater than 208 grams

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