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 12 supermarkets from Region 1 had mean sales of 76.3 with a standard deviation of 5.6. A random sample of 17 supermarkets from Region 2 had a mean sales of 86.5 with a standard deviation of 6.8. 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 1 of 4 : State the null and alternative hypotheses for the test. Step 2 of 4 : find the value test statistic Step 3 of 4 : determine the decision rule for the null hypothesis. round to 3 decimal places. Step 4 of 4 : state the tests conclusion

Answer 1