Question 04(10 points): In a process development study on yield, four factors were studied, each at two levels: time (A), concentration (B), pressure (C), and temperature (D). A single replicate of a 24 design was run, and the resulting data are shown in the table below Actual Run Run Yield w 1 5 - - 12 A111) 2.5 3 2 9 + 1s 31%) 14 1g 3 8 - + 13 C(psi) 60 80 4 13 + + - - 16 D(C) 225 250 5 3 + 17 6 7 + + 15 7 14 + + _ 20 8 l + + + 15 9 6 + 10 10 11 + _ + 25 11 2 + + 13 12 15 + + + 24 13 4 + + 19 14 16 + + + 21 15 10 + + + 17 16 12 + + + + 23 a. Write the complete design matrix (pluses and minuses) and calculate only the interaction effect of A and C. b. By a software, graph the normal probability plot of the effect estimates. Which factors appear to have large effects? c. Conduct an analysis of variance for only the large effects concluded from the normal probability plot in part (b). What are your conclusions from AN OVA table? d. Can this design be collapsed into a 23 design with two replicates