Activity 1 Data

Section 1

Team Heat Time
117.85
127.34
138.37
2129.13
2214.62
2310.65
3121.38
3216.00
3312.22
418.12
4210.23
4315.22
519.00
5212.00
5311.00
6111.84
6228.03
6311.52
719.81
728.91
737.44
8112.43
8214.50
8311.65

Section 2

Team Heat Time
118.20
127.22
136.18
215.06
225.50
236.38
315.87
326.20
336.32
415.97
425.81
437.19
519.50
527.16
536.44
614.63
624.88
635.10
716.22
729.12
736.50
816.06
826.00
835.32

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
Mean13.69513.95411.00912.886
St Dev7.6046.4362.3825.812

Analysis of Variance

Source SS df MS F P
Heat 42.5491 2 21.2746 0.6084 0.553550
Within 734.3575 21 34.9694  
Total 776.9066 23 33.7785

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

Section 2 - Combined Data

Summary Statistics

Heat123All
n88824
Mean6.4396.4866.1796.368
St Dev1.6201.3230.6711.220

Analysis of Variance

Source SS df MS F P
Heat 0.4384 2 0.2192 0.1362 0.873410
Within 33.7934 21 1.6092  
Total 34.2318 23 1.4883

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

Combined Data for Semester

Summary Statistics

Heat123All
n16161648
Mean10.06710.2208.5949.627
St Dev6.5005.9173.0135.301

Analysis of Variance

Source SS df MS F P
Heat 25.8039 2 12.9020 0.4483 0.641544
Within 1295.1333 45 28.7807  
Total 1320.9372 47 28.1050

Critical F(2,45,0.05) value = 3.2043.

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.