Suppose now that the new Dean of the Telfer school of Management is interested in determining whether there is a difference in the time it takes for the two different groups to finish the ADM2304 final exam. To test this, the Dean's office has selected a random sample of 5 students from Marketing course (group 1), and another 5 students from Finance course (group 2). The following data reflect the actual exam time in hours: Group 1 Group 2 3.4 2.0 3.2 3.0 2.8 3.0 3.7 2.2 2.5 2.1 Which of the following statements is/are true? You can select one or more. C] The pooled variance is used to calculate the test statistics for comparing two population means when population variances are assumed to be equal. C] If the null hypothesis for the Wilcoxon ranksum test is rejected, the distributions for the two populations are different from one another which should result in the rank-sum of one sample being smaller than the other. C] The Wilcoxon rank-sum test statistic equals the sum of the ranks for the sample with the larger sample size. if the sample sizes are equal, either sample can be used to calculate the test statistic. C] To compare two populations, parametric tests are procedures that rely on fewer assumptions about the probability distribution for a population of interest than non-parametric tests. Now, assume that a Kruskal-Wallis test is being conducted to determine whether or not all groups come from the same distribution. Suppose a new group 3 is added to the analysis denoting the ADM2304 final exam grade in the IT field. What is the correct value of the test statistic? Group 1 Group 2 Group 3 Marketing Finance IT T1 = 60 72 = 36 73 = 24 n1 = 6 n2 = 5 n3 = 4Considering the correct value of the test statistic from Question 19 and a significance level of 0.05, we can conclude that: O Since H: 2.16 X62rr = 5.991, we reject the null hypothesis and conclude the grades do not come from the same distribution. 0 We reject the null hypothesis and conclude that at least one group has a different grade distribution from the others. Q We fail to reject the null hypothesis and conclude that the grades come from the same distribution. 0 Since H= 2.16 XC2rr = 5.991, we fail to reject the alternative hypothesis. Q We support the alternative hypothesis