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To study the effects of different types of vigorous exercise on physical fitness, researchers randomized 33 healthy, non-athletic, 20- to 25-year-old made volunteers into three exercise programs: swimming, running, and bicycling. After six months, a variety of measures were taken of the men's fitness levels. One such measure was forced expiratory volume (FEV1), with higher values indicating better pulmonary fitness. The results were as follows:
FEV1(liters)
Programs
Sample size
Sample mean
Sample standard deviation
Swimming
11
4.4
0.4
Running
4.2
Bicycling
3.7
0.5
The one-way ANOVA table for these data is as follows, indicating at least one significant difference in mean FEV1 among the three groups.
Source
DF
Sum of Squares
Mean Square
F Value
Pr > F
Model
2
2.86
1.43
7.53
0.0022
Error
30
5.7
0.19
Corrected Total
32
8.56
Perform all pairwise comparisons among the three programs, using a Tukey adjustment and an overall significance level of 0.05, then interpret all your results.
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