12.

In a car crash experiment, cars are classified into one of four groups: subcompact, compact, midsize, and full-size. There are five different cars in each group. Head injury data (in hic, which are standard head injury condition units) for the dummies in the driver'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 are safer?

3 Click the icon to view the table of the head injury data for the dummies in the driver's seat.

Select the null and alternative hypotheses.

A. H0 : 1 = 2 = 3 = 4 = 5

Ha: At least one of the population means

is different from the others.

B. H0 : 1 = 2 = 3 = 4

Ha : 1 2 3 4

C. H0 : 1 = 2 = 3 = 4

Ha: At least one of the population means

is different from the others.

D. H0 : At least one of the population means

is different from the others.

Ha : 1 = 2 = 3 = 4

Use technology to calculate the test statistic F.

F =

(Round to two decimal places as needed.)

Find the P-value.

The P-value is .

(Round to three decimal places as needed.)

Select the conclusion. Do the sample data suggest that larger cars are safer?

A. Do not reject the null hypothesis. There is sufficient evidence to conclude that larger cars are

safer.

B. Do not reject the null hypothesis. There is not sufficient evidence to conclude that larger cars

are safer.

C. Reject the null hypothesis. There is not sufficient evidence to conclude that larger cars are

safer.

D. Reject the null hypothesis. There is sufficient evidence to conclude that larger cars are safer.

Subcompact: 690 431 917 593 420

Compact: 643 657 744 518 525

Midsize: 469 728 525 457 257

Full-size: 484 657 607 681 363