We are attempting to see if we can justify theadditional expense of premium fuel over economy; i.e., we will onlyuse premium fuel if we are convinced that it actually helps mpg.For each of the 25 cars at our disposal, we randomly picked onefuel to use first, drove the car until nearly empty, and calculatedmpg when refilling the tank. We then filled it with the other fuel,repeating the process, obtaining mpg for that fuel, driving overthe same roads.
Explain why it would be important to randomize theorder in which we test two gasoline types. Give a specific exampleof how not randomizing might cause a problem with thisdesign.
