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ANOVA: degrees of freedom and F statistic

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Please see attached file for full question and ANOVA table.

1. For each of the following situations, state how large the F statistic needs to be for rejection of the null hypothesis at the 5% level. Sketch each distribution and indicate the region where you would reject.

a). The main effect for the first factor in a 3 x 5 ANOVA with 3 observations per cell.
b). The interaction in a 3 x 3 ANOVA with 3 observations per cell.
c). The interaction in a 2 x 2 ANOVA with 51 observations per cell.

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This solution shows how to find the degrees of freedom and critical values of F in an ANOVA table involving 2 factors.

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