applied to the driver’s head during a crash test is equal for each types of car. Use α = .05. Use a post hoc test to determine which pairs of mean are significantly different. Explain in what way are they different. Car: Compact Midsize Full-size 1 643 469 484 2 655 427 456 3 702 525 402 M 666.67 473.67 447.33 s 31.18 49.17 41.68 SS 1944.39 4835. 38 3474.45
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 three for each of the treatments (cars 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 types of car. Use α = .05. Use a post hoc test to determine which pairs of mean are significantly different. Explain in what way are they different.
|
Car: |
Compact |
Midsize |
Full-size |
|
1 |
643 |
469 |
484 |
|
2 |
655 |
427 |
456 |
|
3 |
702 |
525 |
402 |
|
M |
666.67 |
473.67 |
447.33 |
|
s |
31.18 |
49.17 |
41.68 |
|
SS |
1944.39 |
4835. 38 |
3474.45 |
|
Source |
SS |
df |
MS |
F |
|
Between |
86049.556 |
2 |
43024.778 |
25.1749 |
|
Within |
10254.22 |
6 |
1709.0367 |
|
|
Total |
96303.776 |
8 |
|
|
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