An agency that offers tutoring students for students taking the SAT is interested in evaluating the effectiveness of their programs. A random sample of 5 students is used to evaluate if their SAT score increases by more than 50 points after completing their program. The score of the 5 students before and after completing the program is shown below.
| Student |
1 |
2 |
3 |
4 |
5 |
| Score before the training |
420 |
520 |
690 |
606 |
425 |
| Score after the training |
550 |
600 |
735 |
660 |
461 |
Using a significance level of 5%, What is the p-value of the Hypothesis test to determine if the training is effective in increasing the students score by more than 50 points ? (use 3 decimals)