Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Question
Chapter 12, Problem 68AP
a
Summary Introduction
Interpretation: The graph of the AOQ curve
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
b
Summary Introduction
Interpretation:
Maximum proportion of defective nails.
Concept Introduction: : Poisson distribution is the probability distribution of discrete random variable series in which frequency of outcomes is calculated in a given period of time.
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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.
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%.
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)
Chapter 12 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 12.1 - Prob. 2PCh. 12.1 - Prob. 3PCh. 12.1 - Prob. 4PCh. 12.1 - Prob. 5PCh. 12.1 - Prob. 6PCh. 12.2 - Prob. 7PCh. 12.2 - Prob. 8PCh. 12.2 - Prob. 9PCh. 12.2 - Prob. 10PCh. 12.2 - Prob. 11P
Ch. 12.2 - Prob. 12PCh. 12.2 - Prob. 13PCh. 12.3 - Prob. 14PCh. 12.3 - Prob. 15PCh. 12.3 - Prob. 16PCh. 12.3 - Prob. 17PCh. 12.4 - Prob. 18PCh. 12.4 - Prob. 19PCh. 12.4 - Prob. 20PCh. 12.4 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Prob. 24PCh. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.9 - Prob. 29PCh. 12.9 - Prob. 30PCh. 12.9 - Prob. 31PCh. 12.9 - Prob. 32PCh. 12.9 - Prob. 33PCh. 12.10 - Prob. 34PCh. 12.10 - Prob. 35PCh. 12.10 - Prob. 37PCh. 12.10 - Prob. 38PCh. 12.10 - Prob. 39PCh. 12.10 - Prob. 40PCh. 12.11 - Prob. 41PCh. 12.11 - Prob. 42PCh. 12.11 - Prob. 43PCh. 12.11 - Prob. 44PCh. 12.12 - Prob. 46PCh. 12.12 - Prob. 47PCh. 12.12 - Prob. 48PCh. 12 - Prob. 49APCh. 12 - Prob. 50APCh. 12 - Prob. 51APCh. 12 - Prob. 52APCh. 12 - Prob. 53APCh. 12 - Prob. 54APCh. 12 - Prob. 55APCh. 12 - Prob. 57APCh. 12 - Prob. 58APCh. 12 - Prob. 59APCh. 12 - Prob. 60APCh. 12 - Prob. 61APCh. 12 - Prob. 62APCh. 12 - Prob. 63APCh. 12 - Prob. 64APCh. 12 - Prob. 65APCh. 12 - Prob. 66APCh. 12 - Prob. 67APCh. 12 - Prob. 68APCh. 12 - Prob. 69APCh. 12 - Prob. 70AP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardConsider 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?arrow_forwardConsider 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 batchesb. Rejected?arrow_forward
- 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?arrow_forwardConsider 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 batchesf. Rejected on the second sample?arrow_forwardSince 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 abovearrow_forward
- For the double sampling plan for Spire CDs presented in this section, what is theprobability that a lot is rejected on the first sample? Perform the computation forboth p = p0 and p = p1.arrow_forwardThe General Manager at Oasis Caleteria Wants to determine how many students use thecafeteria on a regular basis. a)What type of sampling method would he use if he decides to randomly select 20 students in the cafeteria during each of the three lunch periods on Monday? b) Explain, why the sampling method you have mentioned is appropriate.arrow_forwardA manufacturer is selling pharmaceuticals that have a weight specification 199.8 to 200.2 mg, with a target value of 200 mg. Before sending its next shipment, the company collects a large sample of product and determines the mean weight of the sample is 199.89 mg, with a standard deviation of 0.035 mg. The process capability index for the current process is ____. Round to three decimal places.arrow_forward
- A normally distributed process uses 66.7% (i.e. the +/- 3 ? from the mean) ofthe specification band. It is centered at the nominal dimension, located halfway between theupper and lower specification limits.(a) Estimate Cp and Cpk Interpret these ratios.(b) What fallout level (fraction defective) is produced?arrow_forwardIn an acceptance sampling plan developed for lotscontaining 1,000 units, the sample size n is 85. The percentdefective of the incoming lots is 2%, and the probability ofacceptance is 0.64. What is the average outgoing qualityarrow_forwardIn 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,…arrow_forward
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