Activity 1 Data

Section 1

Team Heat Time
1111.37
1222.68
1311.81
218.72
228.23
237.22
318.81
327.81
337.03
4120.25
429.94
4311.34
515.19
526.31
535.12
616.75
627.60
636.75
716.78
727.67
735.66
815.50
825.31
835.04

Section 2

Team Heat Time
118.00
127.90
134.62
2114.06
227.02
237.84
315.43
325.21
334.78
415.22
425.53
434.84
515.05
524.82
535.00
615.15
625.16
633.80

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
n88824
Mean9.1719.4447.4968.704
St Dev4.9115.5172.6534.418

Analysis of Variance

Source SS df MS F P
Heat 17.7937 2 8.8968 0.4333 0.654003
Within 431.1421 21 20.5306  
Total 448.9358 23 19.5189

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

Section 2 - Combined Data

Summary Statistics

Heat123All
n66618
Mean7.1525.9405.1476.079
St Dev3.5651.2311.3852.338

Analysis of Variance

Source SS df MS F P
Heat 12.2351 2 6.1175 1.1367 0.347030
Within 80.7306 15 5.3820  
Total 92.9657 17 5.4686

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

Combined Data for Semester

Summary Statistics

Heat123All
n14141442
Mean8.3067.9426.4897.579
St Dev4.3534.4952.4463.866

Analysis of Variance

Source SS df MS F P
Heat 25.8645 2 12.9322 0.8594 0.431280
Within 586.8745 39 15.0481  
Total 612.7390 41 14.9449

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.