In an experiment to investigate the effect of "cement factor" (number of sacks of cement per cubic yard) on flexural strength of the resulting concrete ("Studies of Flexural Strength of Concrete. Part 3: Effects of Variation in Testing Procedure," Proceedings, ASTM, 1957: 1127-1139), I = 3 different factor values were used, J = 5 different batches of cement were selected, and K = 2 beams were cast from each cement factor/ batch combination. Sums of squares include SSA = 22,941.80, SSB = 22,765.53, SSE = 15,253.50, and SST = 64,954.70. Construct the ANOVA table. Then, assuming a mixed model with cement factor (A) fixed and batches (B) random, test the three pairs of hypotheses of interest at level .05?