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    Test of hypothesis using ANOVA

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    In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and resulting damage was estimated. five test vehicles of each type were crashed.

    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

    Are the mean crash damages the same for these three vehicles?
    state a null and alternative hypothesis
    identify the test statistic used
    Fc=3.885
    F=.937
    Perform an ANOVA at a=.05

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    https://brainmass.com/statistics/analysis-of-variance/test-of-hypothesis-using-anova-188381

    Solution Preview

    Please see the attached file.

    We will use ANOVA to test the hypothesis

    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
    Mean= M 1282 1376 1638
    Standard deviation=sj 496.31 321.84 441.78
    Sample size=nj= 5 5 5

    k=no of samples= 3
    Grand mean of all the three samples= 1432.00 =(5 * 1282 + 5 * 1376 + 5 * 1638 ) / (5+5+5)

    Note(The calculations of mean and standard deviation have not been shown here)

    1) Null and Alternative Hypothesis

    Null Hypothesis: H0: M 1= M 2= M 3 ...

    Solution Summary

    The solution uses ANOVA to test hypothesis for difference between mean crash damages for three vehicles.

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