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 1313 supermarkets from Region 1 had mean sales of 81.481.4 with a standard deviation of 5.75.7. A random sample of 1717 supermarkets from Region 2 had a mean sales of 84.484.4 with a standard deviation of 7.57.5. 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=0.02α=0.02 for the test. Assume that the population variances are not equal and that the two populations are normally distributed.

Step 2 of 4 :  

Compute the value of the t test statistic. Round your answer to three decimal places.

Answer 1

As we fail to reject H0 at 2 % los, we conclude that the claim is false that the there is difference in mean sales per market per month between the two regions.

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