42. The following data on power consumption in electric furnace heats (kW consumed per ton of melted

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42. The following data on power consumption in electric furnace heats (kW consumed per ton of melted product) resulted from a 24 factorial experiment with three replicates

(“Studies on a 10-cwt Arc Furnace,” J. Iron and Steel Institute, 1956: 22). The factors were nature of roof A (low, high), power setting B (low, high), scrap used C (tube, plate), and charge D (700 lb, 1000 lb).

Treat- Treatment xijklm ment xijklm

(1) 866, 862, 800 d 988, 808, 650 a 946, 800, 840 ad 966, 976, 876 b 774, 834, 746 bd 702, 658, 650 ab 709, 789, 646 abd 784, 700, 596 c 1017, 990, 954 cd 922, 808, 868 ac 1028, 906, 977 acd 1056, 870, 908 bc 817, 783, 771 bcd 798, 726, 700 abc 829, 806, 691 abcd 752, 714, 714 Construct the ANOVA table, and test all hypotheses of interest using   .01.

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