2. In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However,Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up samplingplans for the receiving department to use.For a particular component, X, Alpha has a lot tolerance percentage defective of 49 percent. Zenon Corporation, from which Alphapurchases this component, has an acceptable quality level in its production facility of 12 percent for component X. Alpha has aconsumer's risk of 10 percent and Zenon has a producer's risk of 5 percent.a. When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test? UseExhibit 10.16. Note: if the exact value of the computed LTPD/AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio.(Round up your answer to the next whole number.)Sample sizeb. What is the allowable number of defects in order to accept the shipment?Allowable number of defects Excerpt from a Sampling Plan Table for a = 0.05, ß= 0.10exhibit 10.16LTPD/AQLn* AQLLTPD/AQLn* AQL44.8900.0523.5492.613110.9460.35563.2063.28626.5090.81872.9573.98134.8901.36682.7684.69544.0571.97092.6185.42600

Given data: Lot tolerance percentage defective or (LTPD)= 49 %.Acceptable quality level or (AQL) =…

Answered: In the past, Alpha Corporation has not…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter14: Data Mining

Section14.2: Classification Methods

Problem 11P

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When a robot welder is functioning properly the cylinders it produces burst (on average) at 3400 psi, with known standard deviation 100 psi. Determine the 3-Sigma mean control chart limits. Test lot sample sizes are n=4 cylinders randomly selected from the production line. a. Centerline = ____ b. Upper Limit = ____ c. Lower Limit = ____ d. What is the probability that random variation will exceed the ± 3-sigma limits ____. (four decimal places with zero before the decimal)
Consider the following double sampling plan. First select a sample of 5 from a lotof 100. If there are four or more defectives in the sample, reject the lot. If there isone or fewer defective, accept the lot. If there are two or three defectives, samplean additional five items and reject the lot if the combined number of defectives inboth samples is five or more. If the lot has 10 defectives, what is the probabilitythat a lot passes the inspection? For the double sampling plan described in Problem 39, determine the following:b. The probability that the lot is rejected based on the second sample.
20) Consider a production process that produces tires. A quality engineer has taken 15 samples, each containing 100 tires. The total number of defective tires over the 15 samples is 340. The sample standard deviation is Group of answer choices a) 0.011 b) 0.042 c) 0.005 d) 0.022 e) 0.028
Since each process capability index relies on the estimate of process standard deviation, which in turns relies on sampling, therefore which following statement is INCORRECT? a. Confidence interval of each capability index should be found, instead of computing only a point estimate. b. Each process capability index follows some distribution. c. Each process capability index is a random variable. d. The distribution of Cpk is approximately normal. e. none of the above
For a particular process, the mean value, Xbar, is 1.011 and the mean range value, Rbar, is 0.102. If the product specification is 1.000 +/- 0.050, calculate the process capability for a sample size is 4. Question options: 0.194 0.237 0.297 0.397 0.549 0.624 0.734 0.929
Which of the following statements is NOT true about the process capability ratio? a. The process capability ratio is a ratio for determining whether a process meets design specifications. b. The process capability ratio is computed as the difference of the upper and lower specification limits divided by six standard deviations. c. The process capability ratio is a ratio of the specification to the process variation. d. A capable process has a process capability ratio less than one.
A single sampling inspection scheme for large lot of mass-produced flanges states:From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection.a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p.b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plotthe operating characteristics and average outgoing quality curve.c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for pof 5%.
In each of the following situations, indicate whether a fixed (F), sequential (S), or discovery (D) attributes sampling plan is being used. The audit team has determined the tolerable rate of deviation to be 5%, the risk of overreliance to be 10%, and the expected population deviation rate to be zero. The audit team is performing a sampling application to evaluate the operating effectiveness of an entity’s internal controls. The application used could provide a more efficient method of examination, but it is important that the audit team evaluate the sample in the order they were selected. The audit team established the risk of overreliance to be 5%, the tolerable rate of deviation to be 4%, and the expected population deviation rate to be 3%. Using the AICPA Sample Size tables, the audit team decided to sample over 1,000 items. Using the AICPA Sample Size tables, the audit team determined the appropriate sample size and selected the sample items. However,…
Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesa. Accepted?
Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchesd. Accepted on the second sample?
Consider the double sampling plan for Spire CDs described in this section. Over aperiod of one year, 3,860 boxes of records are subject to inspection using this plan.If 60 percent of these batches are “good” (that is, in 60 percent of the batches theproportion of defectives is exactly 10 percent) and 40 percent are “bad” (that is, in40 percent of the batches the proportion of defectives is exactly 30 percent), thenwhat is the expected number of batchese. Rejected on the first sample?
Statistical process control (SPC) is a quality-control technique that primarily involves using statistics _____. A. To monitor production quality during the production process B. To improve the production quality of products C. To look fo defects in the random sampling process D. To find out ways to limit defects to 30,400 per million operations

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