A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: small automobiles, sedans, and luxury automobiles. He randomly samples four small automobiles, five sedans, and three luxury automobiles. The miles per gallon for each is shown. At alpha = 0.05, test the claim that there is no difference among the means. Discuss it with complete procedure using the following ANOVA Table. Analysis of Variance Summary is given in the following Table. source d.f Sum of squares Mean  Squares Fcal P-Value Between    --     --       -- 4.83 0.025 within(Error)    -- 225.954 25.106     Total    11 468.671

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A researcher wishes to see if there is a difference in the fuel economy for city driving for three different types of automobiles: small automobiles, sedans, and luxury automobiles. He randomly samples four small automobiles, five sedans, and three luxury automobiles. The miles per gallon for each is shown. At alpha = 0.05, test the claim that there is no difference among the means. Discuss it with complete procedure using the following ANOVA Table.

Analysis of Variance Summary is given in the following Table.

source d.f Sum of squares

Mean 

Squares

Fcal P-Value
Between    --     --       -- 4.83 0.025
within(Error)    -- 225.954 25.106    
Total    11 468.671      

 

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