5.93 A quality-control engineer wants to study the alternative sampling plans n  5, a  1 and n  25, a  5. On a sheet of graph paper, construct the operating characteristic curves for both plans; use acceptance probabilities at p  0.05, p  0.10, p  0.20, p  0.30, and p  0.40 in each case.

a If you were a seller producing lots with fraction defective ranging from p  0 to p  0.10, which of the two sampling plans would you prefer?

b If you were a buyer wishing to be protected against accepting lots with fraction defective exceeding p  0.30, which of the two sampling plans would you prefer?