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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