SOLUTION: 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
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Question 151265This question is from textbook
: 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?
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
This question is from textbook
Answer by mducky2(62) (Show Source): You can put this solution on YOUR website!
Although there are a lot of numbers, this question is a fairly straightforward problem. The mean is just the average of the numbers. To find the average of any list, you just add up the numbers and divide that by the amount of numbers in the list.
Since you know that five test vehicles were crashed for each type of vehicle, the amount of numbers will be 5.
The crash damages for the Goliath are averaged in this equation:
(1600 + 760 + 880 + 1950 + 1220)/5
= 6410/5
= 1282
The crash damages for the Varmint are averaged in this equation:
(1290 + 1400 + 1390 + 1850 + 950)/5
= 6880/5
= 1376
The crash damages for the Weasel are averaged in this equation:
(1090 + 2100 + 1830 + 1250 + 1920)/5
= 8190/5
= 1638
Therefore, the mean crash damages are not the same. As it turns out, the information about crashing into a barrier at 5 mph was irrelevant to the question.
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