A cereal manufacturer who claims to meet certain mineral and vitamin requirements has a minimum specification of 25% for the iron content. The standard deviation of the iron content is estimated to be 3%. It is preferred to accept batches that are 1.5% nonconforming with a probability of 0.92. For batches that are 8% nonconforming, it is desired that the rejection probability be 0.88.
Find the parameters of a variable sampling plan, assuming that the first condition is to be satisfied exactly. How would the sampling plan change if the second condition were to be satisfied exactly?