SOLUTION: 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
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Question 542760: 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? Perform an ANOVA at α = 0.1.
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 $1,920
Step 1: State the null and alternate hypotheses
Ho: u1 = u2 = u3
H1: At least one of the means id fifferent
Step 2: Select a level of significance
α = 0.1 The level of significance is 10%.
Step 3: Identify the test statistic
Step 4: Formulate a decision rule
Step 5: Make a decision
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated.Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Crash1
Crash Damage ($)
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
-------------------------
Ho: means are all the same
Ha: at least one of the means is different
Chi-Sq Test:
Test Statistic: Chi-Sq = 1338.97
p-value: 0
df= 8
Conclusion: Reject Ho
At least one of the means is different
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Cheers,
Stan H.
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