The accompanying data was obtained in an experiment to investigate whether compressive strength of concrete cylinders depends on the type of capping material used or variability in different batches (“The Effect of Type of Capping Material on the Compressive Strength of Concrete Cylinders,” Proceedings ASTM, 1958: 1166–1186). Each number is a cell total based on observations.

In addition, and 50,443,409. Obtain the ANOVA table and then test at level .01 the hypotheses versus versus , and versus , assuming that capping is a fixed effect and batches is a random effect.