The editor of an automotive magazine has asked you to compare the mean gas mileages of city driving for three makes of compact cars. The editor has made available to you one car of each of the three makes, three drivers, and a budget sufficient to buy gas and pay the drivers for approximately 500 miles of city driving for each car.
a. Explain how you would conduct an experiment and gather the data for a magazine article comparing the gas mileage.
b. Suppose that you wish to test the null hypothesis that the mean gas mileages of city driving are the same for all three makes. Outline the procedure for using your data to conduct this test. Assume that the assumptions for applying analysis of variance are satisfied.