Question 1: [2 Mark] Research Question: Is there a difference in intro stat marks between psychology and law students? In an introductory first-year statistics course, researchers investigated if psychology and law students performed differently. Their intro statistics marks are given below for 16 psy students and 12 law students: psy = 82, 85, 80, 78, 85, 88, 84, 87, 92, 80, 77, 77, 80, 79, 81, 72 law = 78, 82, 69, 71, 77, 71, 68, 76, 74, 72, 71, 73 The summary statistic is also given. Mean Standard Deviation psy 82.33 4.96 law 73.5 4.08 Do the data provide sufficient evidence to conclude that, on average, there is a difference in the mark between psy and law students? Perform the required hypothesis test at the 5% level of significance. You may assume that the two populating standard deviation are equal.