The Energy Information Administration gathers data on residential energy consumption and expenditures and publishes its findings in "Residential Energy Consumption Survey: Consumption and Expenditures." Suppose that we want to decide whether a difference exists in mean annual energy consumption by households among the four U.S. regions. The data contains last year's energy consumptions for households in the four U.S.

1. In Minitab, create a boxplot (attach the plot) of the last year's energy consumptions for households by U.S. regions. Comment on any findings.
2. Produce summary statistics for each of the energy consumptions. Comment on any findings.
3. The following questions are for the hypotheses for this test.

(i) (5 points) Indicate the null and alternative hypotheses for this test using mathematical notation.

(ii) (5 points) Indicate the null and alternative hypotheses for this test with words in the context of the problem.

1. What are the assumptions to conduct this test? Using Minitab, verify if the assumptions of this test are satisfied.
2. Using Minitab, conduct the test with a significance level of 5% even if the assumptions were not satisfied. You must include all relevant output.
3. What is your conclusion in terms of the problem?
4. If the null hypothesis was rejected above, conduct any further steps necessary to find any additional information about the mean energy consumptions for the U.S. regions.

regions.

Northeast Midwest South West 15 17 11 10 10 12 7 12 13 18 9 J CO 14 13 13 13 15 9 12