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 18 18 supermarkets from Region 1 had mean sales of 87.1 87.1 with a standard deviation of 6.5 6.5 . A random sample of 12 12 supermarkets from Region 2 had a mean sales of 80.8 80.8 with a standard deviation of 7.4 7.4 . Does the test marketing reveal a difference in potential mean sales per market in Region 2? Let μ 1 μ1 be the mean sales per market in Region 1 and μ 2 μ2 be the mean sales per market in Region 2. Use a significance level of α=0.01 α=0.01 for the test. Assume that the population variances are not equal and that the two populations are normally distributed. Step 4 of 4: State the test's conclusion.

Answer 1

The statistical software output for this problem is:

From above output:

P - value = 0.0257 which is greater than 0.01. Hence,

The conclusion is:

Fail to reject Null Hypothesis