Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12, Problem 66AP
Summary Introduction
Interpretation:
Probability of acceptance.
Concept Introduction:
Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.
Exponential distribution is a probabilitydistribution which finds probability of an event to occur between independent constant rate and continous rate.
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A company employs the following sampling plan: It draws a sample of 10 percentof the lot being inspected. If 1 percent or less of the sample is defective, the lot isaccepted. Otherwise the lot is rejected.b. If a lot contains 1,000 items of which 20 are defective, what is the probabilitythat the lot is accepted?
A company employs the following sampling plan: It draws a sample of 10 percentof the lot being inspected. If 1 percent or less of the sample is defective, the lot isaccepted. Otherwise the lot is rejected. c. If a lot contains 10,000 items of which 200 are defective, what is the probability that the lot is accepted?
An acceptance sampling plan is designed with n = 50 and c = 3. A random sample is collected from a shipment and assessed per this plan. Your inspector finds three defective items in the sample. What action should you take regarding this shipment?
A. Accept the sample but reject the shipment
B. Reject the entire shipment
C. Reject the sample but accept the shipment
D. Accept both the sample and shipment
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
- What is the meaning of x ̅ ~ N (50, 2)? 1. The Sampling distribution is distributed normally with a mean of 50 and a standard deviation of 2 2. Sampling distribution of x is distributed normally with a mean of 2 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 2 4. x-bar is normally distributed with a mean of 2 and a standard deviation of 50arrow_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_forward20) 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) 0.028arrow_forward
- What is the meaning of x ~ N (50, 20)? 1. Sampling distribution of x is distributed with a mean of 20 and a standard deviation of 50 2. x-bar is normally distributed with a mean of 20 and a standard deviation of 50 3. x is normally distributed with a mean of 50 and a standard deviation of 20 4. Sampling distribution of x is distributed with a mean of 50 and a standard deviation of 20arrow_forwardA simple random sample is a sample drawn in such a way that each member of the population has: some chance of being selected in the sample. an equal chance of being included in the sample. a 1% chance of being included in the 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 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 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_forward
- How many ppm defective parts would be expected in a +/- 4 sigma normally distributed unstable process? Assume the mean shifted by +/- 1.5σ from the target.arrow_forwardSampling error is defined as: an error that occurs when a sample of less than 30 elements is drawn. an error that occurs during collection, recording, and tabulation of data. the difference between the value of a sample statistic and the value of the corresponding population parameter.arrow_forwardIn a hypothesis test, a small value for the sample variance increases the likelihood that a statistically significant treatment effect will be detected. O True O Falsearrow_forward
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