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A random sample om] = 21 securities in EconomyA produced mean returns of X 1 = 5.8% with S1 = 2.5% while another random sample of 11; = 16 securities in Economy 3 produced mean returns of X 2 = 4.6% with S2 = 2.2%. At (X = 0.01, can we infer that the returns differ significantly between the two economies? Assume that the samples are independent and randomly selected from normal populations with equal population variances ( G 12 = 0' 22 ) T-Distribution Table a. Calculate the test statistic. t = 0.000 Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. A Reject A Fail to Reject