Question 176639: In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph and the resulting damage in dollars was estimated. Five test vehicles of each type were crashed with results below showing. Are the mean crash DAMAGES THE SAME FOR THESE THREE VEHICLES ?
CRASH DAMAGES:
GOLIATH vARMINT WEASEL
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph and the resulting damage in dollars was estimated. Five test vehicles of each type were crashed with results below showing. Are the mean crash DAMAGES THE SAME FOR THESE THREE VEHICLES ?
CRASH DAMAGES:
GOLIATH vARMINT WEASEL
1,600 1,d290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
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You are comparing three means so run an ANOVA program against the 5x3 data matrix.
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Ho: the three means are all equal
Ha: at least one of the means is different
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Test Stat: F= 0.93665...
p-value: 0.4188..
Factor df = 2
Error df = 12
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Conclusion:
Since p-value is greater than 5% Fail to Reject Ho.
The means are statistically equal.
There is no great difference in bumper-damage repair costs for these
three models.
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Cheers,
Stan H.
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