large cereal manufacturer promises 5 boxes of raisins in each box of boxes with various dried fruits, and any package that has less than 5 boxes of raisins is considered defective. A customer is willing to accept a maximum of just 1% defective packaging. The manufacturer agreed with this suggestion but insisted on limiting its risk to 3%. In batches of 15000 packages, samples are taken from 200 packages at random. 2.1. The customer also considers that batches with 5% or more of defective packaging are unacceptable and wants guarantees from the cereal manufacturer that it does not supply batches with inferior quality in more than 7% of shipments. Do you find the plan satisfactory? Justify the answer with the calculations made. 2.2. For the plan defined in 2., what is the number of defective packaging acceptance that will result in the rejection of that shipment? Justify the answer with the calculations made explaining each of the underlying concepts. Interpret the result obtained.
large cereal manufacturer promises 5 boxes of raisins in each box of boxes with various dried fruits, and any package that has less than 5 boxes of raisins is considered defective. A customer is willing to accept a maximum of just 1% defective packaging. The manufacturer agreed with this suggestion but insisted on limiting its risk to 3%. In batches of 15000 packages, samples are taken from 200 packages at random. 2.1. The customer also considers that batches with 5% or more of defective packaging are unacceptable and wants guarantees from the cereal manufacturer that it does not supply batches with inferior quality in more than 7% of shipments. Do you find the plan satisfactory? Justify the answer with the calculations made. 2.2. For the plan defined in 2., what is the number of defective packaging acceptance that will result in the rejection of that shipment? Justify the answer with the calculations made explaining each of the underlying concepts. Interpret the result obtained.
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