Random Effects Models: Bumper Test of Three Types of Autos

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 meancrash damages the same for these three vehicles?

Crash1

Crash Damage ($)
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

Ho: The means are the same
Ha: At least one of the means is not the same as …

This solution assists in determining the mean crash damages the same for the three vehicles.