Activity 1 Data

Team Heat Time
116.22
126.22
136.25
2113.89
2219.80
2312.85
3110.15
3212.41
339.79
416.29
426.20
435.71
518.22
529.53
539.00
616.86
625.88
634.83
714.54
724.72
734.15
814.44
824.51
834.04

Team Heat Time
117.44
126.65
135.63
215.30
225.27
235.45
314.80
325.73
335.09
418.00
425.47
435.84
515.65
525.75
534.94
616.14
625.12
635.14

Hypothesis Testing

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.

Analysis of Times for Section 01

Summary Statistics for Time

Heat123All
n88824
Mean7.5768.6597.0777.771
St Dev3.1615.2293.1573.854

Analysis of Variance

Source SS df MS F P
Heat 10.4558 2 5.2279 0.3315 0.721509
Error 331.1406 21 15.7686
Total 341.5964 23 14.8520

Critical F(2,21,0.05) value = 3.4668.

Analysis of Times for Section 02

Summary Statistics for Time

Heat123All
n66618
Mean6.2225.6655.3485.745
St Dev1.2530.5430.3490.850

Analysis of Variance

Source SS df MS F P
Heat 2.3457 2 1.1729 1.7714 0.203884
Error 9.9319 15 0.6621
Total 12.2776 17 0.7222

Critical F(2,15,0.05) value = 3.6823.

Analysis of Times for Combined Sections

Summary Statistics for Time

Heat123All
n14141442
Mean6.9967.3766.3366.903
St Dev2.5444.1472.4913.108

Analysis of Variance

Source SS df MS F P
Heat 7.7428 2 3.8714 0.3888 0.680474
Error 388.3438 39 9.9575
Total 396.0866 41 9.6606

Critical F(2,39,0.05) value = 3.2381.

Data Dictionary

section
The section number of the class (1,2)
team
The team number (1-8 for section 1, 1-6 for section 2)
heat
The heat number (1-3)
time
The time in seconds required to walk 25 ft.