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Consider the following table: Step 1 of 8: Calculate the sum of squares of exper

ID: 3318549 • Letter: C

Question

Consider the following table:

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 mean square among treatments. Please round your answer to two decimal places.

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

Step 8 of 8: Is F significant at 0.05 ?

SS DF MS F Among Treatments       790.66 395.33 0.76 Error Total 7011.94 14

Explanation / Answer

step 1:  sum of squares of experimental error SST-SSTr =7011.94-790.66=6221.28

Step 2 of 8 : degrees of freedom among treatments =SS/df =790.66/395.33 =2

Step 3 of 8: mean square among treatments =395.33

Step 4 of 8:F =MSTr/MSE =0.76

Step 5 of 8: sum of squares of sample means about the grand mean is sum of square among treatments . SStr=790.66

Step 6 of 8: MSE =SSE/df(errror) =12

Step 7 of 8: for 2,12 degree of freedom and 0.05 level critical value of F =3.8853

Step 8 of 8: as F test statistic is less than critical value ; we can not conclude that F is significant at 0.05