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Unformatted text preview: on and identify the position of the observed test statistic. Shade the area that represents the P ­value. Answer: Should be a bell curve with the test statistic in the left tail. The area to the left of T = −0.45 and to the right of T = 0.45 should be shaded. 8 Use the test statistic to find the P ­value. Answer: 0.67. Step 4: State a Conclusion 9 How does the P ­value compare to the significance level? Should we reject or fail to reject the null hypothesis? Answer: P ­value > 0.05. We fail to reject the null hypothesis. 10 What can you conclude about the alternative hypothesis? Answer: We do not have enough evidence to support the alternative hypothesis. 11 State a conclusion in the context of the problem. Answer: At the 5% level of significance, there is not sufficient evidence to conclude that the mean dispensing amount is different than 600 ml. There is not enough evidence to conclude that the machine needs an adjustment. © 2011 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING A PATHWAY THROUGH STATISTICS,...
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