Three different makes of cars were tested for fuel efficiency. For each make of

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Question

Three different makes of cars were tested for fuel efficiency. For each make of car fifteen automobiles were randomly selected and subjected to standard driving procedures. Using the data from the following results compute the between treatments estimate of ² and the within treatments estimate of ². At the =.05 level of significance, can the null hypothesis that all fuel economies are the same be rejected? Construct the ANOVA table for this data.

Ford Chevrolet Chrysler Miles Per Gallon 32 29 34 Standard Deviation 4 5 3

Explanation / Answer

here null hypothesis: all fuel economies are the same

alternate hypothesis: at least 2 of the fuel economies are different.

from above beolw is the ANOVA table:

as p value is less then 0.05 level we reject null hypothesis.

We have sufficient evidence to conclude that at least 2 of of the fuel economies are different.

i ni Xi Si^2 ni*(Xi-mean)^2 (ni-1)*Si^2 ford 15 32 16 1.667 224 Chevrolet 15 29 25.000 106.667 350 Chrysler 15 34 9.000 81.667 126 mean 31.667 190.000 700.000

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Three different makes of cars were tested for fuel efficiency. For each make of

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