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oran HESE 500 Activity A personal trainer is interested in comparing the anaerob

ID: 3366120 • Letter: O

Question

oran HESE 500 Activity A personal trainer is interested in comparing the anaerobic thresholds of elite athletes. Anaerobic threshold is defined as the point at which the muscles cannot get more oxygen to sustain activity or the upper limit of aerobic exercise. It is a measure also related to maximum heart rate. The following data are anaerobic thresholds for distance runners, distance cyclists, distance swimmers and cross-country skiers. 1. Distance CyclistsDistance Swimmers Cross-Country Skiers Distance Runners 185 179 192 165 166 159 170 183 201 190 209 182 178 181 195 180 187 160 215 174 s there a difference in anaerobic thresholds among the different groups of elite athletes?

Explanation / Answer

Ans:

Null Hypothesis: The mean threshold of all the four athletes groups are same.

Alternative Hypothesis: At least one threshold mean of an athletes group has a significant difference.

One-way ANOVA: Thresholds versus athletes

S = 11.61 R-Sq = 50.28% R-Sq(adj) = 40.96%

Comment: The estimated p-value is 0.009 and less than 0.05 level of significance. Hence, we can reject the null hypothesis and conclude that at least one threshold mean of an athletes group has a significant difference at 0.05 level of significance.

Source DF SS MS F P athletes 3 2181 727 5.39 0.009 Error 16 2156 135 Total 19 4337