The fuel efficiencies for a sample of 27 compact, midsize, and large cars are entered into a statistical software package. Analysis of variance is used to investigate if there is a difference in the mean miles per gallon of the three car sizes. What do you conclude? Use the .01 significance level. The results of the analysis follow:

a. What are the null and alternate hypotheses?

b. What is the test statistic?

c. What is the p-value?

d. What is your decision regarding the null hypothesis?

e. Interpret the result.

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Summary Groups Sample Size Sum Average Variance Compact 12 268.3 22.35833 9.388106 Midsize 9 172.4 19.15556 7.315278 Large 6 100.5 16.75 7.303 ANOVA Source of Variation df MS F p-value 136.4803 68.24014 Between Groups Within Groups 2 8.258752 0.001866 198.3064 24 8.262766 Total 334.7867 26