Question

3. Consider the following table

	SS	DF	MS	F
Among Treatments	?	5	1139.19
Error			223.49
Total	8601.32	18

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 0.01 level? Please round your answer to four decimal places, if necessary.

Step 8 of 8:

Is F significant at 0.01

Answer 1

	SS	DF	MS	F	F critical
Among Treatments	5695.95	5	1139.2	5.10	4.86
Error	2905.37	13	223.49
Total	8601.32	18

Step 1 of 8:

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

SS treatment = df*MS treatment = 5 * 1139.2 = 5695.95

Step 2 of 8:

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

SSE = SST-SS treatment = 2905.37

Step 3 of 8:

Calculate the degrees of freedom of experimental error.

df error = 18-5 =13

Step 4 of 8:

Calculate the F-value. Please round your answer to two decimal places

f value =MS treatment / MSE = 1139.2/223.49 = 5.10.

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.

sum of squares of sample means about the grand mean =5695.95

Step 6 of 8:

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

MS error = 223.49

Step 7 of 8:

What is the critical value of F at the 0.01 level?

F critical=4.86
.

Step 8 of 8:

Is F significant at 0.01

since, F=5.10> critical value, so, F is significant at α=0.01