Activity 1 Data

Section 1

Team Heat Time
114.91
124.29
134.75
2111.30
2210.97
237.85
3112.58
3210.04
337.72
415.55
427.87
436.16
515.75
524.00
535.40
617.04
626.58
634.84
716.00
725.90
735.56

Section 2

Team Heat Time
114.50
125.75
136.94
2115.76
228.56
238.13
315.32
324.34
336.47
415.56
425.38
435.09
516.35
529.19
535.91
615.10
624.86
634.66
715.65
725.37
735.44

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
n77721
Mean7.5907.0936.0406.908
St Dev3.0612.6901.2822.432

Analysis of Variance

Source SS df MS F P
Heat 8.7690 2 4.3845 0.7207 0.499938
Within 109.5109 18 6.0839  
Total 118.2800 20 5.9140

Critical F(2,18,0.05) value = 3.5546.

Section 2 - Combined Data

Summary Statistics

Heat123All
n77721
Mean6.8916.2076.0916.397
St Dev3.9511.8851.1922.511

Analysis of Variance

Source SS df MS F P
Heat 2.6172 2 1.3086 0.1907 0.828025
Within 123.5127 18 6.8618  
Total 126.1299 20 6.3065

Critical F(2,18,0.05) value = 3.5546.

Combined Data for Semester

Summary Statistics

Heat123All
n14141442
Mean7.2416.6506.0666.652
St Dev3.4152.2791.1902.455

Analysis of Variance

Source SS df MS F P
Heat 9.6645 2 4.8322 0.7935 0.459403
Within 237.4866 39 6.0894  
Total 247.1511 41 6.0281

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.