An experiment is conducted to determine the breaking strength of a certain alloy containing five metals, A, B, C, D, and E. Two different percentages of each metal are used in forming the 25 = 32 different alloys. Since only eight alloys can be tested on a given day, the experiment is conducted over a period of 4 days during which the ABDE and the AE effects were confounded with days. The experimental data are given here.(a) Set up the blocking scheme for the 4 days.(b) What additional effect is confounded with days?(c) Obtain the sums of squares for all maineffects.

Breaking Treat. Strength Breaking Comb. Strength Treat. Comb. 29.5 31.3 33.0 23.7 21.4 32.5 28.1 25.7 0) ae be al e ab aie 34.2 26.1 ce C. 34.0 25.9 ac. ace Breaking Comb. Strength Breaking Treat. Strength Treat. Comb. bce abce bc 23.5 35.2 24.7 32,6 30.4 abc de 28.5 ade bde abde ad 29.0 36.2 bd 30.1 24.7 29.0 31.3 34.7 abd 27.3 cd cde 22.0 acde acd 35.8 26.8 36.4 bede abcde bcd. abcd 26.8 23.7