Q3. 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 super- visors before such a training program begins and then administers similar examinations at the end of the program. The examinations are designed to measure supervisory skills, with higher scores indicating increased skill. The results of the tests are shown below: Supervisor Pre-Test Post-Test 63 78 93 92 84 91 72 80 65 69 72 85 91 99 84 82 71 81 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 hypotheses and test them at 5% significance level. State the assumptions made