A study comparing the resting heart rate of four different types of elite athlet
ID: 3222198 • Letter: A
Question
A study comparing the resting heart rate of four different types of elite athletes recruited: 10 cyclists, 10 triathletes, 10 soccer players, and 10 baseball players. The resting heart rate of each athlete was measured, and the following hypothesis was tested using ANOVA: "Type of sport is a factor in elite athletes' resting heart rate." The BETWEEN groups sum of squares was calculated to be 1,853, and the WITHIN groups sum of squares was calculated to be 17,422.2. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.
Explanation / Answer
Total observations are n = 10 + 10 + 10 + 10 = 40
SSB = 1853
SSE = 17422.2
Degrees of freedom corresponding to groups = k - 1 = 4 - 1 = 3
Total degrees of freedom = n - 1 = 40 - 1 = 39
Error degrees of freedom = 39 - 3 = 36
MSB = SSB / 3 = 1853 / 3 = 617.6667
MSE = SSE / 36 = 17422.2 / 36 = 418.95
F - statistic = MSB / MSE = 617.6667 / 418.95 = 1.28
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