Answer :
Final answer:
The F-ratio for the given two-factor ANOVA is approximately F = 11.16.
Explanation:
To calculate the F-ratio for a two-factor ANOVA, we need to use the given information:
- SSwithin treatments = 86
- SSbetween treatments = 80
- SSbetween subjects = 62
- dfwithin treatments = 12
- dfbetween treatments = 1
- dfbetween subjects = 4
First, we calculate the mean square between treatments:
Mean Square Between Treatments = SSbetween treatments / dfbetween treatments
Mean Square Between Treatments = 80 / 1 = 80
Next, we calculate the mean square within treatments:
Mean Square Within Treatments = SSwithin treatments / dfwithin treatments
Mean Square Within Treatments = 86 / 12 = 7.167
Finally, we calculate the F-ratio:
F-ratio = Mean Square Between Treatments / Mean Square Within Treatments
F-ratio = 80 / 7.167 ≈ 11.16
Therefore, the correct answer is F = 11.16.
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