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 12 supermarkets from Region 1 had mean sales of 81.4 81.4 with a standard deviation of 8.4 8.4 . A random sample of 17 17 supermarkets from Region 2 had a mean sales of 89.9 89.9 with a standard deviation of 6.4 6.4 . Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ1 μ 1 be the mean sales per market in Region 1 and μ2 μ 2 be the mean sales per market in Region 2. Use a significance level of α=0.02 α = 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. Determine the decision rule for rejecting the null hypothesis (round to 3 decimals) d) State the test’s conclusion

Answer 1

for 2 sample t test for not equal population variances  

then df=