Question

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 1212 supermarkets from Region 1 had mean sales of 79.279.2 with a standard deviation of 7.27.2. A random sample of 1717 supermarkets from Region 2 had a mean sales of 84.484.4 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.

Step 1 of 4: State the null and alternative hypotheses for the test.

Step 2 of 4: Compute the value of the t test statistic. Round your answer to three decimal places.

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.

Answer 1