Activity 1 Data

Section 1

Team Heat Time
119.19
1210.78
137.43
215.04
224.69
234.94
314.93
325.03
334.81
415.82
426.09
438.38

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
Mean6.2456.6476.3906.427
St Dev2.0032.8191.7932.041

Analysis of Variance

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.

Combined Data for Semester

Summary Statistics

Heat123All
n44412
Mean6.2456.6476.3906.427
St Dev2.0032.8191.7932.041

Analysis of Variance

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.

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.