A researcher would like to evaluate the effectiveness of apain-relief patch designed for lower back pain. Prior to testingthe patch, each of n = 4 patients rates the current levelof back pain on a scale from 1 to 8. After wearing the patch for 90minutes, a second pain rating is recorded. The data are asfollows.
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                                             Before       After
                                        __________________
                 G =36                6         2
                G2 =784              6         2
              ΣX2 =192              4         4
                                             8         4
                                       ______________________
                                          T = 24  T = 12
                                        SS = 8   SS = 4
Perform an ANOVA and then analyze the data with at-test. Use the .05 level of significance for both.
