Refer to the KALI example presented in this section. The quality control manager requested a producer's risk of .10 or less when po was .03 and aconsumer's risk of .20 or less when p1 was .15. Consider the acceptance sampling plan based on a sample size of 20 and an acceptance criterionof c =1. Answer the following questions. Use Table 19.3.a. What is the producer's risk for the n =20, с —1 sampling plan (to 4 decimals)?Compute P(Accept lot).Producer's risk =b. What is the consumer's risk for the n = 20, c=1 sampling plan (to 4 decimals)?Compute P (Accept lot)Consumer's risk =c. Does the n =20, c=1 sampling plan satisfy the risk limits as requested by the quality control manager?The consumer's risk is- Select your answer - v however, the producer's risk associated with then= 20, c= 1 plan is a littleс —- Select your answer - v than desired. KALI, Inc.: An Example of Acceptance SamplingKALI, Inc., manufactures home appliances that are marketed under a variety of trade names.However, KALI does not manufacture every component used in its products. Several com-ponents are purchased directly from suppliers. For example, one of the components thatKALI purchases for use in home air conditioners is an overload protector, a device that turnsoff the compressor if it overheats. The compressor can be seriously damaged if the over-load protector does not function properly; therefore, KALI is concerned about the qualityof the overload protectors. One way to ensure quality would be to test every componentreceived; this approach is known as 100% inspection. However, to determine proper func-tioning of an overload protector, the device must be subjected to time-consuming and ex-pensive tests, and KALI cannot justify testing every overload protector it receives.Instead, KALI uses an acceptance sampling plan to monitor the quality of the overloadprotectors. The acceptance sampling plan requires that KALI's quality control inspectorsselect and test a sample of overload protectors from each shipment. If very few defectiveunits are found in the sample, the lot is probably of good quality and should be accepted.However, if a large number of defective units are found in the sample, the lot is probablyof poor quality and should be rejected.An acceptance sampling plan consists of a sample size n and an acceptance criterion c.The acceptance criterion is the maximum number of defective items that can be found inthe sample and still indicate an acceptable lot. For example, for the KALI example let ussuppose that a sample of 15 items will be selected from each incoming shipment or lot.Furthermore, suppose that the manager of quality control states that the lot can be acceptedonly if no defective items are found. In this case, the acceptance sampling plan establishedby the quality control manager is n = 15 and c = 0.This acceptance sampling plan is easy for the quality control inspector to implement.The inspector simply selects a sample of 15 items, performs the tests, and reaches a con-clusion based on the following decision rule.Accept the lot if zero defects are found.Reject the lot if one or more defects are found.Before implementing this acceptance sampling plan, the quality control manager wants toevaluate the risks or errors possible under the plan. The plan will be implemented only ifboth the producer's risk (Type I error) and the consumer's risk (Type II error) are controlledat reasonable levels.

Name: Refer to the KALI example presented in this section. The quality cont
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Description: Refer to the KALI example presented in this section. The quality control manager requested a producer's risk of .10 or less when po was .03 and aconsumer's risk of .20 or less when p1 was .15. Consider the acceptance sampling plan based on a sample

Question

Accepted Answer

Let 'X' be the random variable representing the number of defectives in the lot. 
X~Binomialn=20, p