Question

Consider the following table: SS MS DF 1192.33 2 Among Treatments 333.12 Error 6382.1 14 Total Step 1 of 8: Calculate the sum of squares among treatments. Please round your answer to two decimal places.

Answer 1

Ans:

Source	SS	DF	MS	F
Among treatments	2384.66	2	1192.33	3.58
Errors	3997.44	12	333.12
Total	6382.1	14

1)

sum of squares(treatments)=1192.33*2=2384.66

2)

sum of squares(error)=333.12*12=3997.44

3)

degree of freedom(error)=14-2=12

4)

F value=1192.33/333.12=3.58

5)

sum of squares of sample mean about the grand mean=SS(treatment)=2384.66

6)

Variation of individual measurements about their respective means=MS(error)=333.12

7)

critical F value=FINV(0.1,2,12)=2.8068

8)As,F statistic is greater than critical F value,we reject the null hypothesis.

So,F is significant.

Yes