The marketing manager of a firm that produces laundry productsdecides to test market a new laundry product in each of the firm'stwo sales regions. He wants to determine whether there will be adifference in mean sales per market per month between the tworegions. A random sample of 12 supermarkets from Region 1 had meansales of 76.3 with a standard deviation of 5.6. A random sample of17 supermarkets from Region 2 had a mean sales of 86.5 with astandard deviation of 6.8. Does the test marketing reveal adifference in potential mean sales per market in Region 2? Let μ1be the mean sales per market in Region 1 and μ2 be the mean salesper market in Region 2. Use a significance level of α=0.1 for thetest. Assume that the population variances are not equal and thatthe two populations are normally distributed.
Step 1 of 4 : State the null and alternative hypotheses for thetest. Step 2 of 4 : find the value test statistic Step 3 of 4 :determine the decision rule for the null hypothesis. round to 3decimal places. Step 4 of 4 : state the tests conclusion