### Utilizing excel data analysis calculate t distribution

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Using Excel data analysis calculate't' distribution and interpret the result.

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 mileage of the three cars. What do you conclude? Use the .01 significance level.

 Summary Groups count 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 SS df MS F p-value Between groups 136.4803 2 68.24014 8.258752 0.001866 Within groups 198.3064 24 8.262766 Total 334.7867 26

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