A psychologist found that transcendental meditation (TM) helped students perform better by increasing their GPA. He is aware that companies allowing their employees to have TM as part of their working hours became more successful. As the new industrial psychologist of a large manufacturing company, he wanted to test if it would work in the assembly unit following approval by management. He recruited 30 employees from the day shift that he divided into 3 groups: Group A didn't do TM, Group B incorporated a 15-minute TM during their lunch hour on 3 alternating days of the week, and Group C also incorporated a 15-minute TM every day of the week. The study lasted for 3 months. At the end of the study, the productivity level of the employees exceeding their required quota was noted as shown below.

1. Using ANOVA, test the significance of the apparent difference in productivity level at .05. (13 pts)
2. Conduct two post hoc tests, Tukey's HSD Test (5 pts) and Scheffe Test, both at .05 (6 pts). Be sure to indicate which mean differences are significant in each test. Then give a conclusion comparing the results of the two post hoc tests.

No TM	3-day TM	Daily TM
0	2	5
2	3	4
1	3	3
2	4	5
3	1	6
0	2	4
1	4	5
2	3	3
3	2	4
1	2	2