# Question

Many companies use sampling to determine whether a batch should be accepted. An (n, c) sampling plan consists of inspecting n randomly chosen items from a batch and accepting the batch if c or fewer sampled items are defective. Suppose a company uses a (100, 5) sampling plan to determine whether a batch of 10,000 computer chips is acceptable.

a. The “producer’s risk” of a sampling plan is the probability that an acceptable batch will be rejected by the sampling plan. Suppose the customer considers a batch with 3% defectives acceptable. What is the producer’s risk for this sampling plan?

b. The “consumer’s risk” of a sampling plan is the probability that an unacceptable batch will be accepted by the sampling plan. Our customer says that a batch with 9% defectives is unacceptable. What is the consumer’s risk for this sampling plan?

a. The “producer’s risk” of a sampling plan is the probability that an acceptable batch will be rejected by the sampling plan. Suppose the customer considers a batch with 3% defectives acceptable. What is the producer’s risk for this sampling plan?

b. The “consumer’s risk” of a sampling plan is the probability that an unacceptable batch will be accepted by the sampling plan. Our customer says that a batch with 9% defectives is unacceptable. What is the consumer’s risk for this sampling plan?

## Answer to relevant Questions

Suppose that if a presidential election were held today, 53% of all voters would vote for Obama over McCain. (You can substitute the names of the current presidential candidates.) This problem shows that even if there are ...A high roller comes to the casino intending to play 500 hands of blackjack for $1 a hand. On each hand, the high roller will win $1 with probability 0.48 and lose $1 with probability 0.52. After the 500 hands, what is the ...In the SciTools example, make two changes: change all references to $115,000 to $110,000, and change all references to $125,000 to $130,000. Rework the EMV calculations and the decision tree. What is the best decision and ...In the SciTools example, you might argue that there is a continuum of possible low competitor bids (given that there is at least one competing bid), not just four possibilities. In fact, assume the low competitor bid in this ...Referring to the previous problem, find the same probabilities through the counting argument explained in this section. Start with 100,000 athletes and divide them into the various categories.a. What is the posterior ...Post your question

0