Consider the 25 factorial in Problem 6.43. Suppose that the experimenters could only afford 16 runs. Set up the 25−1 fractional factorial design with I = ABCDE and select the responses for the runs from the full factorial data in Problem 6.43.

(a) Analyze the data and draw conclusions.

(b) Compare your findings with those from the full factorial in Problem 6.43.

(c) Are there any potential interactions that need further study? What additional runs do you recommend? Select these runs from the full factorial design in Problem 6.43 and analyze the new design. Discuss your conclusions.