Question

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.

Answer 1

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	$F=\frac{MSB}{MSW}=\frac{630.8667}{402.3028}$= 1.59
within groups	14482.9	(N-k) = (40-4) =36	14482.9/36 =402.3028

the F statistic = 1.59

*** if you face any trouble to understand the answer to the problem please mention it in the comment box.if you are satisfied, please give me a LIKE if possible.