To see if a new training program is effective, you have employees take a pre-test before training and a post-test after training. If the post-test scores are significantly improved, you can conclude the training program is effective.
Conduct a hypothesis test for the null hypothesis that there is no significant improvement using the paired t-test with alpha = 0.05.
Use the data in this table:
|Pre-test Score||Post-test Score||Improvement|
What is the value of the test statistic, ?
What is the value associated with the critical region, ?
If you would reject the null hypothesis, enter 1;
If you would fail to reject the null hypothesis, enter 2.