Question

Consider the following table:

	SS	DF	MS	F
Among Treatments	?	5	824.27
Error			294.76
Total	7363.71	16

Step 1 of 8: Calculate the sum of squares among treatments. Please round your answer to two decimal places.

Step 2 of 8: Calculate the sum of squares of experimental error. Please round your answer to two decimal places

Step 3 of 8: Calculate the degrees of freedom of experimental error.

Step 4 of 8: Calculate the F-value. Please round your answer to two decimal places.

Step 5 of 8: What is the sum of squares of sample means about the grand mean? Please round your answer to two decimal places.

Step 6 of 8: What is the variation of the individual measurements about their respective means? Please round your answer to two decimal places.

Step 7 of 8: What is the critical value of F at the 0.1 level? Please round your answer to four decimal places, if necessary.

Step 8 of 8: Is F significant at 0.1? (yes, no)

Answer 1

ANOVA Table
Source	Sum of square	df	mean Square	F-ratio
Among Treatments	4121.35	5	824.27	2.80
Error	3242.36	11	294.76
Total	7363.71	16

Step 1 of 8: Calculate the sum of squares among treatments.  

5*824.27 = 4121.35

Step 2 of 8: Calculate the sum of squares of experimental error.

7363.71-4121.35 = 3242.36

Step 3 of 8: Calculate the degrees of freedom of experimental error.

16-5 = 11

Step 4 of 8: Calculate the F-value. Please round your answer to two decimal places.

F = 824.27/ 294.76 = 2.80

Step 5 of 8: The sum of squares of sample means about the grand mean is

4121.35

Step 6 of 8: The variation of the individual measurements about their respective means is

3242.36

Step 7 of 8: The critical value of F at the 0.1 level is

2.4512

Step 8 of 8: Is F significant at 0.1?

Answer: Yes

since F value > F critical value so we reject H0 i.e. Significant