Question

You are given the following ANOVA Single-factor output.                                                                                                               

Groups	Count	Sum	Average	Variance
1	3.00	166.00	55.33	156.33
2	3.00	213.00	71.00	444.00
3	3.00	197.00	65.67	114.33
4	3.00	219.00	73.00	508.00
5	3.00	235.00	78.33	786.33
6	3.00	160.00	53.33	92.33
7	3.00	256.00	85.33	10.33
8	3.00	206.00	68.67	574.33
9	3.00	210.00	70.00	333.00
10	3.00	290.00	96.67	2.33

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	4527.20	9.00	503.02	1.66	0.16	1.96
Within Groups	6042.67	20.00	302.13
Total	10569.87	29.00

a. What is the Sum of Squares Factor?                                                                                                   

b. What is the Sum of Squares Error?                                                                                                      

c. What is the df for the numerator?                                                                                                      

d. What is the df for the denominator?                                                                                                 

e. What is the Mean Square Factor?                                                                                                        

f. What is the Mean Square Error?                                                                                                           

g. What is the F statistic?                                                                                                             

h. What is the p-value?                                                                                                

i. What is the F critical?                                                                                                 

j. At 1% significance level, would you reject or accept a hypothesis based on the alpha and p-value and why?

Answer 1