The daily production rates for a sample of factory workers before and after a training program are shown below. Let d = After Before.

                                                        Worker Before After 

                                                         1              6          9

                                                         2               10        12

                                                         3                9         10

                                                         4                8         11

                                                         5                7          9

We want to determine if the training program was effective.

Give the hypotheses for this problem.

Compute the test statistic.

At 95% confidence, test the hypotheses. That is, did the training program actually increase the production rates?