3. Consider comparing the average supermarket prices of a carton of milk. The data below presents a random sample of eight supermarkets and the price of each brand of a carton of milk at each supermarket. The data are shown in the following table: Brand A Brand B Supermarket (S) (3) 1 1.50 1.60 2 1.75 1.70 3 2.38 2.45 4 2.15 2.30 5 2.25 2.25 6 2.36 2.40 7 2.47 2.43 8 2.37 2.40 1 R 3. Based on the data presented, which of the following values is greater: the pooled sample standard deviation or the sample standard deviation of the difference? Justify your answer. b. If you wanted to test if there is a difference in the price of a carton of milk between Brand A and Brand B from each supermarket, would you estimate a matched pair strategy or pooled sample strategy? Explain. 0. Calculate the test statistic for a test of whether the price of Brand A is less than the price of Brand B. Using the test statistic, is there evidence to support the claim that the price of Brand A is less than the price of Brand B? Use a = 0.05