Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize...

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Suppose the National Transportation Safety Board (NTSB) wantsto examine the safety of compact cars, midsize cars, and full-sizecars. It collects a sample of three for each of the treatments(cars types). Using the data provided below, test whether the meanpressure applied to the driverâ€™s head during a crash test is equalfor each types of car. Use Î± = 5%.
Compact cars
Midsize cars
Full-size cars
64
46
47
65
43
45
69
52
40
Average: 66
Average: 47
Average: 44
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â The average for all can be found as 52.3.
Â Â Â Â Â Â Â Â Â Â Â Â a). Find SSG.
Â Â Â Â Â Â Â Â Â Â Â Â b). Find SSE.
Â Â Â Â Â Â Â Â Â Â Â Â c). Find SST
Â Â Â Â Â Â Â Â Â Â Â Â d). Find F-value
Â Â Â Â Â Â Â Â Â Â Â e). Find F-critical value from the Table.
Â Â Â Â Â Â Â Â Â Â Â f). Make your decision.

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3.9 Ratings (360 Votes)

aFrom the given data the following Table is calculatedCompact carsMidsize carsFull size carsSum 198141132n 333Mean 6647441308266695834Std Dev264645833606SS144226Total Sample Size N 3 See Answer

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Compact cars	Midsize cars	Full-size cars
64	46	47
65	43	45
69	52	40
Average: 66	Average: 47	Average: 44