Question

4. Suppose Math 2526 has four sections, all use the same common exam. The following table is the result for final exam for these four sections. Mean Standard deviation Section 2 4 84 82 80 81 24 20 18 a). Find SSG b). Find SSE c). Find F-value and critical F-value. 5%. d) Make your decision at α

Answer 1

Group	ni	x̅i	S2i	ni*(Xi-Xgrand)2	(ni-1)*S2i
1	22	84	36.000	103.278	756.00
2	24	82	64.000	0.667	1472.00
3	20	80	49.000	67.222	931.00
4	18	81	91.000	12.500	1547.00
	grand mean=	81.8333		183.667	4706.00
				SSTr	SSE

a)SSG=183.667

b)SSE =4706.00

c)

Source	SS	df	MS	F	Fcrit
between	183.67	3.000	61.2222	1.04	2.719
within	4706.00	80.000	58.8250
total	4889.67	83.0000

from above F value =1.04

Fcrit =2.719

d)as test statisitc is not higher than critical value we fail to reject Ho

we can not conclude that means differs