0. (Acceptance Sampling) Suppose that Company Z has decided to use a Dodge-Romig AOQL plan for acceptance sampling for a lot size of 2,500, with an AOQL of 3%.

   • Part (a): (10 Points) Give six pairs of (n, c) that will approximately satisfy these quality

     and risk requirements.

   • Part (b): (5 Points) Apparently, the company does not know what the fraction non-

     conforming of any given lot is. (The company does not know the non-conforming fraction of the vendors production process either.) However, in order to select one with smallest amount of inspection effort (on average and in a long run) from multiple pairs of (n, c) that satisfy these quality and risk requirements, the company can guestimate where the fraction non-conforming may lie. Suppose that the company determine, for this secondary cost consideration, that the fraction non-conforming should be around 1%. What should be the Dodge-Romig AOQL Plan?