5. 25 points A professor of statistics wants to test four instructional methods for teaching statistics. Students who signed up to take her statistics course are assigned at random to four sections: Section I is taught online; Section II is taught using lectures; Section III is taught using independent study; and Section IV is taught using a combination of lectures, group work, and online work. Students in all four sections have to take a comprehensive final examination. The scores on this examination rang from 1 to 15. The summary data are given below. Section T 5 13.8 .7 II 13.2 2.2 III 5 11.2 2.7 IV 5 14.6 .3 a) Produce an analysis of variance table for these data. b) Test the hypothesis that the population means of scores are the same for the four instructional methods for teaching statistics. Use o = 0.01