Connie Rodrigues, the Dean of Students at Midstate College, is wondering about differences in grades between Business school and College of arts & science. A quick random sampling produced the following GPAs (Grade Point Average). Business School: 2.86 2.77 3.18 2.8 3.14 2.87 3.19 3.24 2.91 3 2.83 Arts & Sciences 3.35 3.32 3.36 3.63 3.41 3.37 3.45 3.43 3.44 3.17 3.26 3.18 3.41 (a) Assuming that the GPAs are normally distributed, test whether there is difference in grades between Business School and Arts & Science College. Use α = 0.01. 07 (b) If the Dean believes that grades of Business School students are better than that of Arts & Science college, test her belief at α = 0.01. 07 OR Q.5 (a) Assuming that the GPAs are not normally distributed, apply appropriate non-parametric to test whether there is difference in grades between Business School and Arts & Science College. Use α = 0.01. 07 (b) Assuming that the GPAs are not normally distributed, apply appropriate non-parametric to test whether Business School students score better GPAs than students of Arts & Science College. Use α = 0.01