Question

Consider the following table: SS DF MS F Among Treatments 2567.67   855.89 1.42 Error ?     Total 8575.97 13

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

Step 2 of 8: Calculate the degrees of freedom among treatments.

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

Step 4 of 8: Calculate the mean square of the experimental error. 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 0.05 level? Please round your answer to four decimal places, if necessary.

Step 8 of 8: Is F significant at 0.05 ?

Answer 1

AnoVA Table

Source	SS	df	MSS	F
Among Treatment	2567.67	2567.67/855.89 = 3	855.89	1.42
Error	8575.97-2567.67 =6008.3	13-3 =10	6008.3/10 = 600.83
Total	8575.97	13

Step 1:

SSE = TSS- SSTr =8575.97 - 2567.67 = 6008.3

Step 2: Degrees of Freedom Among treatments

SSTr/MSS = 2567.67/855.89 = 3

Step 3: Degrees of Freedom of experimental error

df(Error) = df(total)-df(among treatment) = 13-3 = 10

Step 4: The mean square of the experimental error

MSE = SSE/df = 6008.3/10 =600.83

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

SSTr = 2567.67

Step 6: SSE = 6008.3

Step 7: The critical value of F for (3,10) df at 5% significance level is 3.7083

Step 8: Since F calculated is less than F tabulated, Fail to Reject H0.

No F is not significant at 0.05