Question: Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars and full-size cars. It collects a sample of

Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars and full-size cars. It collects a sample of five for each of the treatments (car types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each type of car. Use α = 0.05.

Car Type

Compact (1)

Midsize (2)

Full-Size (3)


643

469

484


655

427

456


702

525

402


668

501

416


692

444

438

Sample Mean (X)

672

473.2

439.2

Sample Variance ( si2 )

611.5

1615.2

1053.2

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