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A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at...

A highway safety institution conducts experiments in which cars are crashed into a fixed barrier at 40 mph. In the​ institute's 40-mph offset​ test, 40% of the total width of each vehicle strikes a barrier on the​ driver's side. The​ barrier's deformable face is made of aluminum​ honeycomb, which makes the forces in the test similar to those involved in a frontal offset crash between two vehicles of the same​ weight, each going just less than 40 mph. You are in the market to buy a family car and you want to know if the mean head injury resulting from this offset crash is the same for large family​ cars, passenger​ vans, and midsize utility vehicles​ (SUVs). The data in the accompanying table were collected from the​ institute's study.

Using the data below, find the P-value. (round to three decimal places as needed)

Large_Family_Cars Passenger_Vans Midsize_Utility_Vehicles
263 148 223
135 238 216
410 339 187
533 697 305
150 554 357
633 474 552
165 323 393
0 0
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