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 78.2 with a standard deviation of 8.2. A random sample of 17 supermarkets from Region 2 had a mean sales of 72.2 with a standard deviation of 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: Compute the value of the t test statistic. Round your answer to three decimal places. Step 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Also State the test's conclusion.
17.
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 78.2 with a standard deviation of 8.2. A random sample of 17 supermarkets from Region 2 had a mean sales of 72.2 with a standard deviation of 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: Compute the value of the t test statistic. Round your answer to three decimal places.
Step 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Also State the test's conclusion.
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