Consider the following table:
SS | DF | MS | F | |
---|---|---|---|---|
Among Treatments | 4109.12 | 1027.28 | 2.99 | |
Error | ? | |||
Total | 8570.85 | 17 |
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 0.10.1 level? Please round your answer to four decimal places, if necessary.
Step 8 of 8:
Is F significant at 0.10.1?
Source | SS | df | MS | F |
treatment | 4109.12 | 4 | 1027.28 | 2.99 |
error | 4461.73 | 13 | 343.21 | |
total | 8570.85 | 17 |
Step 1 of 8:
sum of squares of experimental error. =8570.85-4109.12=4461.73
Step 2 of 8:
degrees of freedom among treatments =4109.12/1027.28 =4
Step 3 of 8:
degrees of freedom of experimental error =17-4 =13
Step 4 of 8:
mean square of the experimental error =343.21
Step 5 of 8:
sum of squares of sample means about the grand mean =4109.12
Step 6 of 8:
variation of the individual measurements about their respective means =4461.73
Step 7 of 8:
critical value of F =2.4337
Step 8 of 8: :Yes (since test statistic >critical value )
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