Question 176071: 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 ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
Goliath Varmint Weasel
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
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Run a Chi-Square Test:
Ho: The means for the three vehicles are the same.
Ha: At least one of the means is not the same.
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I used a TI-83 Chi-Sq Test to get:
Test Statistic = 1033341.679
p-value = 0.0000000...
df = (3-1)(5-1) = 8
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Conclusion: Reject Ho.
There is a difference in the means.
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Cheers,
Stan H.
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