Question 7.105

7.105 Two-sample test versus matched pairs test, continued.

paired

Refer to the previous exercise. Perhaps an easier way to see the major difference in the two analysis approaches for these data is by computing 95% confidence intervals for the mean difference.

  1. Compute the 95% confidence interval using the two-sample confidence interval.
  2. Compute the 95% confidence interval using the matched pairs confidence interval.
  3. Compare the estimates (that is, the centers of the intervals) and margins of error. What is the major difference between the two approaches for these data?

7.105

(a) (−2.859, 1.153). (b) (−1.761, 0.055). (c) The estimates (centers) are the same, but the margin of error for the two-sample procedure is much larger than for the matched pairs procedure.