Problem 2. (30 points) A study was conducted to compare the gasoline performance of cars for 3 gasoline formulations. Formulation A was a type of an octane 87-octane without lead. Formulation B was a 91-octane unleaded gasoline and C was an 87-octane unleaded formulation with 15% ethanol. Four cars were used in the experiment, all of the same make and model. Each formulation was tested on every car. Using each formulation in the same car has the effect of eliminating (locking) car-to-car variability. The data (in miles per gallon) is shown below. Table 2- Data Problem 2 1 Automobile 2 27 3 Formulation A 4 26.1 25.7 27.2 26.1 27.3 27.9 B 28.1 27.7 27.8 C 27.5 26.8 Does the data provide sufficient evidence to indicate a difference in average performance per gallon for the three gasoline formulations? Use a significance level of 0.05. Perform and present your computes by hand (not Excel, not Minitab, etc. Although you can use software to check your results before you submit your exam.)