answer for dis question sir .

This is related to acceptance sampling

1. For n = 180, c = 3, AQL = 0.5%, and LTPD = 4%, find a and . 2. You are responsible for purchasing bearings for the maintenance department of a large airline. The bearings are under contract from a local supplier, and you must devise an appropriate acceptance sampling plan for them. Management has stated in the contract that the acceptable quality level is l percent defective. In addition, the lot tolerance proportion defective is 4 percent, the producer's risk is 5 percent, and the consumer's risk is 10 percent. a. Specify an appropriate acceptance sampling plan that meets all these criteria. b. Draw the OC curve for your plan. What is the resultant producer's risk? c. Determine the AOQL for your plan. Assume a lot size of 3000. 3. The Lustre-Potion Shampoo Company purchases the label that is pasted on each bottle of shampoo it sells. The label contains the company logo, the name of the product, and directions for the product's use. Sometimes the printing on the label is blurred or the colors are not right. The company wants to design an acceptance sampling plan for the purchased item. The acceptable quality level is 10 defectives per 1000 labels, and the lot tolerance proportion defective is 5 percent. Management wants to limit the producer's risk to 5 percent or less and the consumer's risk to 10 percent or less. a. Specify a plan that satisfies those desires. b. What is the probability that a shipment with 3 percent defectives will be rejected by the plan? c. Determine the AOQL for your plan. Assume that the lot size is 2000 labels. 4. Your company supplies sterile syringes to a distributor of hospital supplies. The contract states that quality should be no worse than 0.2 percent defective, or 20 parts in 10,000. During negotiations, you learned that the distributor will use an acceptance sampling plan with n = 400 to test quality. a. If the producer's risk is to be no greater than 5 percent, what is the lowest acceptance number, c, that should be used? b. The syringe production process averages 25 defective parts in 10,000. With n = 400 and the acceptance level suggested in part a, what is the probability that a shipment will be returned to you? c. Suppose that you want a less than 5 percent chance that your shipment will be returned to you. For the data in part b, what acceptance number, c, should you have suggested in a? What is the producer's risk for that plan? page 2 of 3 5. A buyer of electronic components has a lot tolerance proportion defective of 40 parts in 10,000, with a consumer's risk of 10 percent. a. If the buyer will sample 2000 components out of the shipment, what acceptance number, c, would the buyer want? b. What is the producer's risk if the AQL is 10 parts per 10,000? 6. Consider a certain raw material for which a single-sampling attribute plan is needed. The AQL is l percent, and the LTPD is 4 percent. Two plans have been proposed. Under plan l, n = 100 and c = 3; under plan 2, n = 200 and c = 6. Are the two plans equivalent? Substantiate your response by determining the producer's risk and the consumer's risk for each plan. 7. You presently have an acceptance sampling plan in which n = 40 and c = l, but you are unsatisfied with its performance. The AQL is l percent, and the LTPD is 5 percent. a. What are the producer's and consumer's risks for this plan? b. While maintaining the same 1:40 ratio of c:n (called the acceptance proportion), increase c and n to find a sampling plan that will decrease the producer's risk to 5 percent or less and the consumer's risk to 10 percent or less. What producer's and consumer's risks are associated with this new plan? c. Compare the AOQLs for your plan and the old plan. Assume a lot size of 1000 units. 8. For AQL = 2%, LTPD = 8%, and n = 200, what value(s) of the acceptance number, c, would result in the producer's risk and the consumer's risk both being under 5 percent? 9. For AQL = 2% and c = 5, what is the largest value of n that will result in a producer's risk of under 5 percent? Using that sample size, determine the consumer's risk when LTPD = 8 %. 10. For c = 11 and LTPD = 8%, what value of n results in a 10 percent consumer's risk? 11. Design a sampling plan for AQL = 0.1%, LTPD = 0.5%, producer's risk