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A paired difference experiment produced the following data: nD = 18                x1 = 92               &nbs

  1. A paired difference experiment produced the following data:

nD = 18                xJGFDYAAAAASUVORK5CYII=1 = 92                 xJGFDYAAAAASUVORK5CYII=2 = 95.5             xJGFDYAAAAASUVORK5CYII=D = -3.5              sD2 = 21

  1. 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.
  2. Conduct the paired difference test described in part a. Draw the appropriate conclusions.
  3. What assumptions are necessary so that the paired difference test will be valid?
  4. Find a 90% confidence interval for the mean difference µD.
  5. 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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