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# ANOVA for Bumper Test for 3 Types of Autos

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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? State the decision rule for &#945; = .05 and make the decision. Interpret the p-value.

Goliath Varmint Weasel

1,660 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

https://brainmass.com/statistics/analysis-of-variance/anova-for-bumper-test-for-3-types-of-autos-208163

#### Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.

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## ANOVA: 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. Are the mean crash damages the same for these three vehicles?

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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