Question 148467: 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? Crash1Crash Damage ($)
Goliath Varmint Weasel
1,600 1,290 1,090
760 1,400 2,100
880 1,390 1,830
1,950 1,850 1,250
1,220 950 1,920
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the
resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with
the results shown below. Research question: Are the mean crash damages the same for these three
vehicles? Crash1Crash Damage ($)
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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I entered the three columns of data into my TI-83 in L1, L2, L3
Ho: the means are equal
Ha: at least one of the means is different
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I ran the ANOVA function against the data lists and got the following:
test statistic: F = 0.93665...
p-value = 0.4188
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Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
The means are statistically equal.
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Cheers,
Stan H.
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