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

1) SS due to error=8575.97-2567.67 =6008.30

2) Degree of Freedom among treatments =SSTr/MSTr = 2567.67 / 855.89 = 3

3)Degree of freedom of Experimental error = 13 - 3 =10

4) MS due to error =SSE /10 = 6008.30 /10 =600.83

5) Sum of squares of sample mean about the grand mean= SStr=2567.67

6) Variation of the individual measurements about their respective means=SS due to error=6008.30

7) Critical value of F at 0.05 =F(10,3,0.05) = 3.71

8) Observed F= MStr/MSE =855.89 / 600.83 = 1.42. Since, observed F< critical value of F at 0.05,therefore, F is not significant at level 0.05.