52. In an experiment to investigate the effect of cement factor (number of sacks of cement per cubic yard)

on exural 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. Summary values include  , x2 x ij#  2 ijk  12,280,103 594 CHAPTER 11 The Analysis of Variance 24,529,699,  , 

, and

a. Construct the ANOVA table.

b. Assuming a mixed model with cement factor (A)

xed and batches (B) random, test the three pairs of hypotheses of interest at level .05.