A fleet manager wanted to determine the best replacement tires for their corpora

Question

A fleet manager wanted to determine the best replacement tires for their corporate automobiles. He selected six tire-types and had a set of each of them installed randomly on 23 selected automobiles. He then recorded the mileage when the tires came due for replacement. Use the Excel output below to analyze the data. Are there differences in life-time mileages of tires, at the five percent significance level?

ANOVA

What should be the fleet manager's conclusion on the six tire types?

a. All six tire-types give the same mileage.

b. Some of the tire-types give the same mileage.

c. All six tire-types give different mileage.

d. Not all the tire-types give the same mileage.

e. Cannot be determined, need more information.

source variation ss df ms f p-value f crt between groups 5 8217.22    within groups 1592.3 total 68155.20 22

Explanation / Answer

completing above ANOVA table:

as test statistic F is higher than crtical value ; we reject null hypothesis

option D is correct  

Not all the tire-types give the same mileage.

source SS df MS f p value F-crit between 41086.1 5 8217.22 5.16 0.0046 2.81 within 27069.1 17 1592.3 total 68155.2 22

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