Question: A two-way analysis of variance experiment with interaction was conducted. Factor A had four levels (columns), factor B had three levels (rows), and five observations

A two-way analysis of variance experiment with interaction was conducted. Factor A had four levels (columns), factor B had three levels (rows), and five observations were obtained for each combination. The results include the following sum of squares terms:

SST = 2500 SSA = 1200 SSB = 1000 SSE = 280

a. Construct an ANOVA table. (You may want to use Excel's F.DIST.RT and F.INV.RT functions to find the p-values and the critical values.)

b. At the 5% significance level, can you conclude that there is interaction between factor A and factor B?

c. At the 5% significance level, can you conclude that the factor A means differ?

d. At the 5% significance level, can you conclude that the factor B means differ?

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