In: Statistics and Probability
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 1616 supermarkets from Region 1 had mean sales of 7979 with a standard deviation of 7.47.4. A random sample of 1212 supermarkets from Region 2 had a mean sales of 73.673.6 with a standard deviation of 7.87.8. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1μ1 be the mean sales per market in Region 1 and μ2μ2 be the mean sales per market in Region 2. Use a significance level of α=0.1α=0.1 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.