Grades obtained by students from different faculties were compared. To verify the hypothesis on equality of average grades of students from Computer Science, Automation and Robotics, and CEIE the randomly drawn samples were taken. The data look as follows: CS = [3.7, 3.8, 3.9, 4, 3.5, 3.9, 4, 3.8, 3.5] AR = [3.5, 3.5, 2.9, 3.4, 3.4, 3.4, 3.3, 3.8, 3.3, 3.3] CEIE - [3.8, 3.9, 3.8, 3.2, 4, 3.4, 3.3, 3.4, 3.4, 3.4, 3.8] a) Verify the hypothesis on homogeneity of variances using Bartlett's test. b) Using ANOVA examine whether the average grades for all the three groups are the same. Remember to define hypotheses and report all the steps you take while performing the tests. Assume significance level equal to 0.05