Calculate the sum of squares among treatments. Round to 2 decimal points. Calcul

ID: 3324507 • Letter: C

Question

Calculate the sum of squares among treatments. Round to 2 decimal points.

Calculate the sum of squares of experimental error. Round to 2 decimal points.

Calculate the degrees of freedom of experimental error.

Calculate the F-value. Round to 2 decimal points.

What is the sum of squares of sample means about the grand mean? Round to 2 decimal points.

What is the variation of the individual measurements about their respective means? Round to 2 decimal points

What is the critical value of F at the 0.05 level? Round to 4 decimal places.

Is F Significant at .05?

Consider the following table: DF MS F Among Treatments? 6 410.88 Error 599.1 Total 8456.28 16

1) sum of squares among treatments =MS*df =410.88*6=2465.28

2)sum of squares of experimental error =8456.28-2465.28=5991

3) degrees of freedom of experimental error=16-6=10

4) F-value =MS(Tr)/MSE =410.88/599.1=0.69

5) sum of squares of sample means about the grand mean=SStr =2465.28

6) variation of the individual measurements about their respective means =MSE =599.1

7) for 6,10 degree of freedom critical value of F at the 0.05 level =3.2172

as test statistic is not higher than critical value F is not significant.

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