Activity 1 Data

Section 1

Team Heat Time
116.91
1213.64
1312.65
215.50
226.13
2310.16
317.03
325.31
337.94
417.25
425.68
435.75

Section 2

Team Heat Time
117.86
125.93
135.59
215.58
2211.19
235.21
316.62
326.59
335.93
416.44
4210.50
438.25
516.78
526.62
537.09
615.59
625.48
634.87
718.03
7210.09
7310.85
815.84
825.25
837.48

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.

Section 1 - Combined Data

Summary Statistics

Heat123All
n44412
Mean6.6737.6909.1257.829
St Dev0.7943.9812.9602.826

Analysis of Variance

Source SS df MS F P
Heat 12.1457 2 6.0729 0.7218 0.512009
Within 75.7248 9 8.4139  
Total 87.8705 11 7.9882

Critical F(2,9,0.05) value = 4.2565.

Section 2 - Combined Data

Summary Statistics

Heat123All
n88824
Mean6.5937.7066.9097.069
St Dev0.9512.4551.9801.879

Analysis of Variance

Source SS df MS F P
Heat 5.2706 2 2.6353 0.7286 0.494383
Within 75.9536 21 3.6168  
Total 81.2242 23 3.5315

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

Combined Data for Semester

Summary Statistics

Heat123All
n12121236
Mean6.6197.7017.6487.323
St Dev0.8652.8562.4652.228

Analysis of Variance

Source SS df MS F P
Heat 8.9213 2 4.4606 0.8932 0.418993
Within 164.7942 33 4.9938  
Total 173.7155 35 4.9633

Critical F(2,33,0.05) value = 3.2849.

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.