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11.24 Research question: Crash1 Are the mean crash damages the same for these th

ID: 2959207 • Letter: 1

Question

11.24

Research question:

Crash1

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 5 mph, and the

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

resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with

the results shown below.

Crash Damage ($)

Explanation / Answer

The test hypothesis is Ho: The means are the same Ha: At least one of the means is not the same as the others The test statistic is test statistic: F = 0.9367 p-value: 0.4188 Since the p-value is less than 5%, reject Ho. So we can conclude that not all the means are equal