1. The data below are the final grades of the students of two teachers of the same course. Is there evidence that Teacher A is a tougher grader than Teacher B? (a) Report an appropriate nonparametric test with a 2% significance level. Write out the full procedure taught in this class. 6 Points (b) If we were making an error here, which type would it be? Write out in words, in context, what making such an error would mean. (c) Explain the power of the test in words, in context. 2 Points 2 Points Sub: Obs: Teacher A Ranks Teacher B Ranks 49 65 62 77 63 80 62 63 80 77 12 84 78 84 84 86 84 89 89 91 91 94 98 98 86 98 98 Sub: Obs: Teacher A Ranks Teacher B Ranks: 49 65 62 77 63 80 63 63 80 77 44 84 78 84 84 86 84 89 89 91 91 94 98 98 98 98 98 104 105