A half-replicate of a 25 experiment to investigate the effects of heating time (A), quenching time (B), drawing time (C), position of heating coils (D), and measurement position (E) on the hardness of steel castings resulted in the accompanying data. Construct the ANOVA table, and (assuming second and higher-order interactions to be negligible) test at level .01 for the presence of main effects. Also construct a normal probability plot.

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Treat- ment Observation Treat- ment Observation 70.4 72.1 70.4 67.4 68.0 73.8 67.0 67.8 66.6 67.5 64.0 66.8 70.3 67.9 65.9 68.0 acd ace ade bed 6 abc abd abe ce bde cde abcde