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# ANOVA for a Bumper Test: Are the mean crash damages the same for these three vehicles at 95% confidence level?

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 at 95% confidence level?

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

A. Choose the Hypothesis

B. Specify the Decision Rule

C. Calculate the Test Statistic

D. Make the Decision

E. Give an interpretation of the Decision

F. P-value Method
1. Calculate the P-value, what is it?

#### Solution Summary

The solution provides step by step method for the calculation of F test statistic for crash data. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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