5.38. Reconsider the three-factor factorial experiment in Problem 5.19. Suppose that this experiment had been conducted in three blocks, with each replicate a block.

Assume that the observations in the data table are given in order, that is, the first observation in each cell comes from the first replicate, and so on. Reanalyze the data as a factorial experiment in blocks and estimate the variance component for blocks. Does it appear that blocking was useful in this experiment?