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 12 supermarkets from Region 1 had mean sales of 85.5 with a standard deviation of 5.8. A random sample of 18 supermarkets from Region 2 had a mean sales of 80 with a standard deviation of 8.2. Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1 be the mean sales per market in Region 1 and μ2 be the mean sales per market in Region 2. Use a significance level of α=0.2 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 1 of 4 : State the null and alternative hypotheses for the test.
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