Given the information that is attached, construct a 2^5-2 fractional factorial model using the optimal generators D=AB and E=AC. Show the design matrix.

6.42 An article in Quality and Reliability Engineering Inter- national (2010. Vol. 26. pp. 223-233) presents a 23 factorial design. The experiment is shown in Table P6. 12. TABLE P6.12 The Experiment for Problem 6.42 A B C D E 8.11 ILL 5.56 5.77 5.82 9.17 -ELLILLLLL 7.8 3.23 5.69 LLLLLLLLLLLLLLLL 8.82 14.23 9.2 -LLFELLILL -LL LL LL 8.94 L-LEL-L-L-L-L-L-L-L-L- 8.68 . TABLE P6.12 (Continued) 11.49 B C D E 6.25 9.12 11.61 L LLLLLLL - - - --- 7.93 1243 17.55 LLLL 8.87 7.47 25.38 12 LOLEL 13.06 9.86 18.85 3.65 11.78 6.4 26.05