Safeway Foods is redesigning the checkout lanes in their supermarkets throughout the Midwest, and they have narrowed their decision down to two designs. In Design 1, they test the system on 120 shoppers and find an average checkout time of 4.1 minutes. From past tests, they can assume a population standard deviation of 2.2 minutes. For Design 2, they test that system on 100 shoppers, and find an average checkout time of 3.4 minutes. From past tests, they can assume a population standard deviation of 1.5 minutes. Using α = .01, test to determine if there is any difference between the checkout times in these two systems.

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