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**Fill in the table in below to test the hypothesis.**

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.