Question

	Group 1	Group 2
Week 1	138	104
Week 2	102	94
Week 3	142	107
Week 4	120	110
Week 5	101	83

How do you calculate the test statistic, degree of freedom, and P value?

Answer 1

S. No	group 1	group 2	diff:(d)=x1-x2	d2
1	138	104	34	1156.00
2	102	94	8	64.00
3	142	107	35	1225.00
4	120	110	10	100.00
5	101	83	18	324.00
	total	=	Σd=105	Σd2=2869
	mean dbar=	d̅     =	21.0000
	degree of freedom =n-1                            =		4
	Std deviaiton SD=√(Σd2-(Σd)2/n)/(n-1) =		12.884099
	std error=Se=SD/√n=		5.7619
	test statistic            =	(d̅-μd)/Se         =	3.6446

(Note: if test is one tailed : p value =0.0108

from excel: tdist(3.645,4,1)

for two tailed : p value =0.0219

from excel: tdist(3.645,4,2)