(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Sample 1: m = 30, 361 = 19, 81 = 2.5. Sample 2: 112 = 31, E2 = 12, S2 = 0.5. (a) The test statistic is ::: (b) Find the t critical value for a significance level of 0.05 for an alternative hypothesis that the first population has a larger mean (one-sided test). Use the more conservative estimate for the number of degrees of freedom: t* =