49. 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 hardness of steel castings resulted in the accompanying data. Construct the ANOVA table, and (assuming secondand higher-order interactions to be negligible) test at level

.01 for the presence of main effects. Also construct a normal probability plot.

Treat- Treatment Observation ment Observation a 70.4 acd 66.6 b 72.1 ace 67.5 c 70.4 ade 64.0 d 67.4 bcd 66.8 e 68.0 bce 70.3 abc 73.8 bde 67.9 abd 67.0 cde 65.9 abe 67.8 abcde 68.0