Question

The marketing manager of a irm that produces laundry products decides to test market a new laundry product in each of the fim'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 supermarkets from Region 1 had potential mean sales per market in Reg on 2? Let ?? be the mean sales per market in Reg on 1 andn be the mean sales standard deviation of 6.5. A random sample of 12 supermarkets from Region 2 had a mean sales of 80.8 with a standard deviation of 74 Does the test marketing reveal a difference in per market in Region 2, Use a significance level of ?-001 for the test. Assume that the population variances are not equal and that the two distributed. Step 2 of 4: Compute the value of the ttest statistic, Round your answer to three decimal places Answer How to enter your answer Tables Keypad Previous Step Answers

Answer 1

From the given inform ation, for Region 1 :--871, sı = 6.5, M = 1 8 for Region 2: 2 80.8, s27.4, and n2-12. Null hypothesis Ho-4-μ,-0 Alternative hypothesis HA" 4-A,-0 This is a two-tailed test Level of signifcance be α-001, then the critical values are -6005,2,--2.763 and toas.s - 2.763 The test statistic t ,- 0.005,28 87.1-80.82.3965s 2.397 S2 6.52 7.42 1812 P-value-2P(t > 2.397)-0.026, P-value greater than the level of significance α-001 we fail to reject the null hypothesis The value of the test stati stic tcj 2.397 lies between the critical values -t.os,2.763, and to.oos,2 we fail to reject the null hypothesis Therefore, there is no enough evidence to conclude that the test marketing reveal a difference in potenti al mean sales per market in two regions - 2.763,it falls in the acceptance region,