Question

Human beta endorphin (HBE) is a hormone secreted by the pituitary gland under conditions of stress. An exercise physiologist measured the resting (unstressed) blood concentration of HBE in 3 groups of men: 11 who had just entered a physical fitness program, 11 who had been jogging regularly for some time, and 13 sedentary people Group Fitess Entrants Joggers Sedentary Sample Size 11 Sample Mean |36.94 Sample SD 6.83 13 75 54.95 8.78 6.46 Compute the value of the grand mean, .. [2 pt(s)) Submit Answer Tries 0/3 Compute the treatment sum of squares, SSTR [2 pt(s) Submit Answer Tries 0/3 12 pt(s)] Compute the error sum of squares, SSE Tries 0/3 Submit Answer Compute the total sum of squares, SST Tries 0/3 [2 pt(s)] Submit Answer Enter the degreees of freedom associated with SSTR SSE SST [2 pt(s)] Submit Answer Tries 0/2

Answer 1

Group	ni	x̅i	S2i	ni*(Xi-Xgrand)2	(ni-1)*S2i
1	11	36.94	46.649	919.740	466.49
2	11	44.75	77.088	19.575	770.88
3	13	54.95	41.732	1021.877	500.78
	grand mean=	46.0840		1961.193	1738.15
				SSTr	SSE
Source	SS	df	MS	F
between	1961.19	2.000	980.5963	18.053
within	1738.15	32.000	54.3173
total	3699.34	34.0000

from above:

grand mean =46.0840

treatment sum of square =1961.1926

error sum of square SSE =1738.1522

SST =3699.3448

degree of freedom associated with:

SStr =2

SSE=32

SST=34

statistical tables F

numerator df =2

denominator df =32

test statistic F =18.053

p value <=0.001