Question 281268: 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! Five test vehicles of each type were crashed, with the results shown below. Research questions: (a) Are the mean crash damages the same or significantly different among these three vehicles? (b) Are there any significant differences between pairs of groups? What test did you use? Explain.
Crash Damage in Dollars
Goliath
1100
750
970
1000
850
Varmint
1290
1400
1390
1850
1100
Weasel
1100
1500
1000
1250
1920
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Ho: the means are all equal
Ha: at least one of the means is different
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I ran an ANOVA test against the three lists of data
and go the following results:
test statistic : F = 4.3638
p-value : 0.0377
-------------------------
Conclusion: Fail to reject Ho if alpha is 5% but reject Ho if alpha=1%.
-------------------------
Further testing could reveal which mean(s) is higher or lower if you
reject Ho.
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Cheers,
Stan H.
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