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 1717 supermarkets from Region 1 had mean sales of 86.286.2 with a standard deviation of 88. A random sample of 1313 supermarkets from Region 2 had a mean sales of 82.282.2 with a standard deviation of 7.37.3. 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.
Step 3 of 4:
Determine the decision rule for rejecting the null hypothesis H0H0. Round your answer to three decimal places.
Step 4 of 4:
State the test's conclusion.
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