Because of Potential Variability in Aging Due to Different Castings $x _ { 000 } = 3815.8 , \sum x _ { 00k } ^ { 2 } = 297,155.01$

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 $x _ { 000 } = 3815.8 , \sum x _ { 00k } ^ { 2 } = 297,155.01$ and $\sum \sum x _ { y( k ) } ^ { 2 } = 297,317.65 \text {. }$ Obtain the ANOVA table and test at level .05 the hypothesis that heat treatment has no effect on aging.