1 answer

QUESTION 2 A study comparing the resting heart rate of four different types of elite athletes...

Question:

QUESTION 2 A study comparing the resting heart rate of four different types of elite athletes recruited: 10 cyclists, 10 tria
QUESTION 2 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 1,892.6, and the WITHIN groups sum of squares was calculated to be 14,482.9. (NOTE: These are not the mean sum of squares) Calculate the F-statistic to two decimal places.

Answers

here , number of groups (k) = 4

total frequency (N) = 10*4 = 40

the necessary calculation table be:-

source of variation sum of squares df MS= SS / df F statistic
between groups 1892.6 (k-1) = (4-1) =3 1892.6/3 = 630.8667

Fa MSB MSW 630.8667 402.3028= 1.59

within groups 14482.9 (N-k) = (40-4) =36 14482.9/36 =402.3028

the F statistic = 1.59

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