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Mathematics, 12.08.2020 21:01 GusGus11

The marketing manager of a firm that produces laundry products decides to test market a new laundry product in each of the firm's two sales regions. He wants to determine whether there will be a difference in mean sales per market per month between the two regions. A random sample of 12 12 supermarkets from Region 1 had mean sales of 77.7 77.7 with a standard deviation of 8.7 8.7 . A random sample of 17 17 supermarkets from Region 2 had a mean sales of 82.5 82.5 with a standard deviation of 6.8 6.8 . Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1 μ 1 be the mean sales per market in Region 1 and μ2 μ 2 be the mean sales per market in Region 2. Use a significance level of α=0.05 α = 0.05 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

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