In a car crashexperiment, cars are classified into one of fourgroups: subcompact,compact, midsize, andfull-size. There are five different cars in each group. Head injury data(in hic, which are standard head injury conditionunits) for the dummies in thedriver's seat are listed in the accompanying table. Use a 0.05 significance level. Test the null hypothesis that the different weight categories have the same mean. Do the sample data suggest that larger cars aresafer?

Subcompact:

581

428

917

798

420

Compact:

643

655

442

514

525

Midsize:

469

727

525

454

359

Full-size:

384

656

602

687

360

Use technology to calculate the test statistic F.

Use technology to calculate the P value.