Assume that you have a sample of n 1 equals 8n1=8, with the sample mean Upper X overbar 1 equals 42X1=42, and a sample standard deviation of Upper S 1 equals 4S1=4, and you have an independent sample of n 2 equals 15n2=15 from another population with a sample mean of Upper X overbar 2 equals 34X2=34 and a sample standard deviation of Upper S 2 equals 5S2=5. What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis Upper H 0 : mu 1 equals mu 2H0: μ1=μ2 against the alternative Upper H 1 : mu 1 greater than mu 2H1: μ1>μ2 and make a statistical decision? Choose the correct answer below. A. It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations. B. It is necessary to assume that the populations from which you are sampling have negative t Subscript STATtSTAT test statistics and unequal sample means. C. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances. D. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.