A motivational program was designed to raise the number of hours each student who took it studied per week. Eight randomly chosen students were involved in the program. The table below shows the number of hours each and every student studied per week before the taking motivational program and after taking the program.
Before program 8 12 10 12 5 10 10 12
After program 12 11 14 15 8 15 9 6
At the 10% level of significance, can it be concluded the motivational program raised the average number of hours students studied per week? Devise and test the appropriate hypotheses. Employ the critical value approach. Suppose that the population of paired differences has a normal distribution