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12) The following table shows the mileage for four different cars and three different brands of gas. Assuming no effect from the interaction between car and brand of gas, test the claim that the four cars have the same mean mileage. Use a 0.05 significance level.
          Brand 1     Brand 2     Brand 3
Car 1    22.4           25.2          24.3
Car 2    19             18.6           19.8
Car 3    24.6            25             25.4
Car 4    23.5           23.6           24.1


Source          DF         SS        MS        F
Car                          61.249
Gas                           2.222
Error
Total                         66.609
A) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value 4.7571. We reject the null hypothesis; it appears that the cars do not have the same mileage.
B) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value 4.7571. We do not reject the null hypothesis; it appears that the cars have the same mileage.
C) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value is 5.1433. We reject the null hypothesis; it appears that the cars do not have the same mileage.
D) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value is 6.5988. We reject the null hypothesis; it appears that the cars do not have the same mileage.
E) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value is 5.1433. We do not reject the null hypothesis; it appears that the cars have the same mileage.

A) H0: The cars have the same mean mileage. H1: The cars do not have the same mean mileage. The critical value 4.7571. We reject the null hypothesis; it appears that the cars do not have the same mileage.