Question 188355
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
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Conclusion: Fail to reject Ho if alpha is 5% but reject Ho if alpha=1%.
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Further testing could reveal which mean(s) is higher or lower if you
reject Ho.
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Cheers,
Stan H.