14.39 Comparing auto bumpers A consumer organization compares the sturdiness of three types of front bumpers.

In the study, a particular brand of car is driven into a concrete wall at 15 miles per hour. The response is the amount of damage, as measured by the repair costs, in hundreds of dollars. Due to the potentially large costs, the study conducts only two tests with each bumper type, using six cars. The table shows the data and some ANOVA results. Show the

(a) assumptions,

(b) hypotheses,

(c) test statistic and df values, (d)
P-value, and

(e) interpretation for testing the hypothesis that the true mean repair costs are the same for the three bumper types.

Transcribed Image Text:

Bumper A Bumper B Bumper C 1 2 11 3 4 15 Source DF SS MS F P Bumper 2 148.00 74.00 18.50 0.021 Error 3 12.00 4.00 Total 5 160.00