Question 3 Management training programs are often instituted to teach supervisory skills and thereby increase productivity. Suppose a company psychologist administers a set of examinations to each of 10 supervisors before such a training program begins and then administers similar examinations at the end of the program. The examinations are designed to measure super visory skills, with higher scores indicating increased skill. The results of the tests are shown below: Supervisor PreTest PostTest 2 93 92 3 84 91 4 72 80 5 65 69 6 72 85 7 91 99 8 84 82 9 71 81 10 80 87 Do the data provide evidence that the training program is effective in increasing supervisory skills, as measured by the examination scores? Set up the appropriate hypothesis and test them at 5% signicance level. State the assumptions made. (10 marks)