Peter Lamb is the quality assurance manager at an engine plant. The summer intern assigned to Lamb is a student in operations management at a local university. The intern’s first task is to calculate the following parameters, based on the SPC information at the engine plant: 

AQL = 0.02 percent, β = 1 percent, α = 2 percent,
    N = 1000, LTPD = 2.5 percent
a. Find the AOQL for the single-sampling plan that best fits the given parameter values.
b. For each of the following experiments, find the AOQL for the best single-sampling plan. Change only the parameter indicated, holding all others at their original values.
i. Change N to 2,000.
ii. Change AQL to 0.3 percent.
iii. Change LTPD to 4 percent.
d. Discuss the effects of changes in the design parameters on plan performance, based on the three experiments in part (b).