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 13 supermarkets from Region 1 had mean sales of 81.4 with a standard deviation of 5.7 A random sample of 17 supermarkets from Region 2 had a mean sales of 84.4 with a standard deviation of 7.5. 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=0.02 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: Determine the design rule for rejecting the null hypothesis Ho. Round to 3 decimals Step 4: Reject or fail to reject null?

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 13 supermarkets from Region 1 had mean sales of 81.4 with a standard deviation of 5.7 A random sample of 17 supermarkets from Region 2 had a mean sales of 84.4 with a standard deviation of 7.5. 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=0.02 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: Determine the design rule for rejecting the null hypothesis Ho. Round to 3 decimals

Step 4: Reject or fail to reject null?

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