Because of potential variability in aging due to different castings and segments on the castings, a Latin square design with N = 7 was used to investigate the effect of heat treatment on aging. With A = castings, B = segments, C = heat treatments, summary statistics include x... = 3815.8, (x2i.. = 297,216.90, (x2i. 297,200.64, (x2k. = 297,155.01, and ((x2ij(k) = 297,317.65. Obtain the ANOVA table and test at level .05 the hypothesis that heat treatment has no effect on aging?