For a factorial experiment involving 2 levels of Factor A and 3 levels of Factor B, a partially completed 2-Way ANOVA table is shown below. Source of Variation SS df MS F Factor A     ---       Factor B 88.17       Interaction (A*B) 136.17       Error 26.50                 Total 302.92 11     ​1) What is the sum of squares due to Factor A?  2) What are the degrees of freedom for Factor B and the Interaction (A*B)?  3) How many treatment combinations are there in the experiment and how many replicates for each treatment combination?  4) Perform the F- test on Interaction between A and B. Is the Interaction significant (α = 0.05)? Please show all the relevant calculations. 5) Perform the F- test on the Factor ‘B’. Is the Factor 'B' significant (α=0.05)? Please show all the relevant calculations.

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