54. 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 (xij.) based on K  3 observations.

Batch Material 1 2 3 4 5 1 1847 1942 1935 1891 1795 2 1779 1850 1795 1785 1626 3 1806 1892 1889 1891 1756 In addition,  and 
. Obtain the ANOVA table and then test at level .01 the hypotheses H0G versus HaG, H0A versus HaA, and H0B versus HaB, assuming that capping is a xed effect and batches is a random effect.