Question 278139: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) were estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three.
Crash Damages $
Goliath
1,600 and 760, and 880 and 1,950 and 1,220
Varmint
1,290 and 1,400 and 1,390 and 1,850 and 950
Weasel
1,090 and 2,100 and 1,830 and 1,250 and 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 5 mph, and the resulting damage (in dollars) was estimated five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
1600,...1290.... 1,090
760.... 1400.... 2,100
880.... 1390.... 1,830
1,950.. 1850.... 1,250
1,220... 950.... 1,920
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Ho: The means are the same
Ha: At least one of the means is not the same as the others
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I ran an ANOVA Test against the three sets of data and got the
following results:
test statistic: F = 0.9367
p-value: 0.4188
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Conclusion: since the p-value is less than 5%, reject Ho.
Not all the means are equal
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Cheers,
Stan H.
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