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 14 supermarkets from Region 1 had mean sales of 88.7 with a standard deviation of 5.9. A random sample of 7 supermarkets from Region 2 had a mean sales of 74 with a standard deviation of 8.3. 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=0.1 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.
Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places.