Activity 1 Data

Section 1

Team	Heat	Time
1	1	6.72
1	2	7.31
1	3	6.05
2	1	6.88
2	2	8.81
2	3	7.34
3	1	6.83
3	2	7.10
3	3	6.68
4	1	6.60
4	2	6.97
4	3	7.38
5	1	4.31
5	2	3.91
5	3	4.53
6	1	6.29
6	2	6.30
6	3	9.60

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.

Analysis of Times for Section 01

Summary Statistics for Time

Heat	1	2	3	All
n	6	6	6	18
Mean	6.272	6.733	6.930	6.645
St Dev	0.984	1.612	1.679	1.400

Analysis of Variance

Source	SS	df	MS	F	P
Heat	1.3704	2	0.6852	0.3219	0.729655
Error	31.9300	15	2.1287
Total	33.3004	17	1.9588

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

Analysis of Times for Combined Sections

Summary Statistics for Time

Heat	1	2	3	All
n	6	6	6	18
Mean	6.272	6.733	6.930	6.645
St Dev	0.984	1.612	1.679	1.400

Analysis of Variance

Source	SS	df	MS	F	P
Heat	1.3704	2	0.6852	0.3219	0.729655
Error	31.9300	15	2.1287
Total	33.3004	17	1.9588

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

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.