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In: Statistics and Probability

A paired difference experiment produced the following data: nD = 18 x ̅1 = 92 x...

A paired difference experiment produced the following data: nD = 18 x ̅1 = 92 x ̅2 = 95.5 x ̅D = -3.5 sD2 = 21 Determine the values of t for which the null hypothesis, µ1 - µ2 = 0, would be rejected in favor of the alternative hypotheses, µ1 - µ2 < 0. Use α = .10. Conduct the paired difference test described in part a. Draw the appropriate conclusions. What assumptions are necessary so that the paired difference test will be valid? Find a 90% confidence interval for the mean difference µD. Which of the two inferential procedures, the confidence interval of part d of the test of hypothesis of part b, provides more information about the differences between the population means?

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