Team | Heat | Time |
---|---|---|
1 | 1 | 9.19 |
1 | 2 | 10.78 |
1 | 3 | 7.43 |
2 | 1 | 5.04 |
2 | 2 | 4.69 |
2 | 3 | 4.94 |
3 | 1 | 4.93 |
3 | 2 | 5.03 |
3 | 3 | 4.81 |
4 | 1 | 5.82 |
4 | 2 | 6.09 |
4 | 3 | 8.38 |
Although hypothesis testing isn't covered until later, here are some tests things will be looking at later. Don't worry too much about what they mean for right now, but you may want to come back and look at them later.
We're going to look at the mean walking time of each of the heats to see if the heat number is a factor in the walking time.
In each case, we'll assume that there is no difference in the walking times of the different heats. The P-value from the Analysis of Variance table is the chance of getting the results we got if there really is no difference. If the P-value is small, say less than 5% (0.05), then we say our results are too unusual to have happened by chance alone and we reject the assumption that the mean walking times are all the same.
Heat | 1 | 2 | 3 | All |
---|---|---|---|---|
n | 4 | 4 | 4 | 12 |
Mean | 6.245 | 6.647 | 6.390 | 6.427 |
St Dev | 2.003 | 2.819 | 1.793 | 2.041 |
Source | SS | df | MS | F | P |
---|---|---|---|---|---|
Heat | 0.3324 | 2 | 0.1662 | 0.0329 | 0.967779 |
Within | 45.5120 | 9 | 5.0569 | ||
Total | 45.8444 | 11 | 4.1677 |
Critical F(2,9,0.05) value = 4.2565.
Heat | 1 | 2 | 3 | All |
---|---|---|---|---|
n | 4 | 4 | 4 | 12 |
Mean | 6.245 | 6.647 | 6.390 | 6.427 |
St Dev | 2.003 | 2.819 | 1.793 | 2.041 |
Source | SS | df | MS | F | P |
---|---|---|---|---|---|
Heat | 0.3324 | 2 | 0.1662 | 0.0329 | 0.967779 |
Within | 45.5120 | 9 | 5.0569 | ||
Total | 45.8444 | 11 | 4.1677 |
Critical F(2,9,0.05) value = 4.2565.