Answer:
The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.
Step-by-step explanation:
There are four treatments in the data given, i.e. k = 4.
Total number of observations, n = 12.
Note: degrees of freedom is denoted as df.
For treatment, the degrees of freedom = k-1 = 4-1 =3 df.
The total degrees of freedom = n-1 = 12-1 = 11 df.
The error in degrees of freedom = df (total) - df(treatment)
The error in degrees of freedom = 11 - 3 = 8 df
At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.
Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.
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