OPERATIONS AND SUPPLY CHAIN MANAGEMENT
9th Edition
ISBN: 9781119448037
Author: Russell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3.S, Problem 2P
Summary Introduction
To draw: Determine the sample size and acceptance level that would result in a probability of .05 that a good lot will be rejected and a probability of .10 that a bad lot will be accepted.
Introduction: A sampling plan will help answer the above question as it calculates the sample size “n” and acceptance level “c”.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The quality assurance manager is assessing the capability of a process that puts pressurized grease in an aerosol can. The design specifications call for an average of 60 pounds per square inch (psi) of pressure in each can with an upper specification limit of 65 psi and a lower specification limit of 55 psi. A sample is taken from production and it is found that the cans average 61 psi with a standard deviation of 2 psi. What is the capability of the process? What is the probability of producing a defect?
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 sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot of tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha hasa consumer’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?b. What is the allowable number of defects in order to accept the shipment?
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 sampling plans for the receiving department to use.
For a particular component, X, Alpha has a lot tolerance percentage defective of 10 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 3 percent for component X. Alpha has a consumer's risk of 10 percent and Zenon has a producer's risk of 5 percent.
When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test? Use Exhibit 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.
Note: Round up your answer to the next whole number.
What is the allowable number of defects in…
Chapter 3 Solutions
OPERATIONS AND SUPPLY CHAIN MANAGEMENT
Ch. 3.S - Prob. 1QCh. 3.S - Prob. 2QCh. 3.S - Prob. 3QCh. 3.S - Prob. 4QCh. 3.S - Prob. 5QCh. 3.S - Prob. 6QCh. 3.S - Prob. 7QCh. 3.S - The Great Lakes Company, a grocery store chain,...Ch. 3.S - Prob. 2PCh. 3.S - Prob. 3P
Ch. 3.S - The Fast Break Computer Company assembles personal...Ch. 3.S - Prob. 5PCh. 3 - Using Sampling and Statistics to Analyze...Ch. 3 - Prob. 2.1ASCCh. 3 - Prob. 3.1ASCCh. 3 - Prob. 4.1ASCCh. 3 - Prob. 5.1ASCCh. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Elon Corporation manufactures parts for an...Ch. 3 - Prob. 42PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Metropolitan General Hospital is a city-owned...Ch. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - The Shuler Motor Mile is a high-volume discount...Ch. 3 - Prob. 1.1CPCh. 3 - Prob. 2.1CPCh. 3 - Improving Service Time at Daves Burgers Daves...
Knowledge Booster
Learn more about
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
- In each of the following, name the term defined or answer the question. Answers are listed at the bottom.1. A Six Sigma process that is running at the center of its control limits would expect this defect rate.2. The variation that can be clearly identified and possibly managed.3. Variation is inherent in the process itself.4. If a process has a capability index of 1 and is running normally (centered on the mean), what percentage of the units would one expect to be defective?5. An alternative to viewing an item as simply good or bad due to it falling in or out of the tolerance range.6. Quality characteristics are classified as either conforming or not conforming to specification.arrow_forwardBlueMoon Bottlers has a bottle-filling process with a mean value of 64 ounces and a standard deviation of 8 ounces. Suppose the upper and lower specification limits are 71 and 57 ounces, respectively. What is the process capability index of this process? (Note: You MUST show every single step and detailed derivation for full credit)arrow_forwardA bottle-filling process has a lower specification limit of 0.99 liter and an upperspecification limit of 1.01 liters. The standard deviation is 0.005 liter and the mean is 1 liter.What is the process capability index for the bottle-filling process?arrow_forward
- A toy manufacturer wants to apply Six Sigma to its manufacturing process. The product will be examined by the inspection team using a predetermined standard. A product is considered defective if it doesn't satisfy a requirement. Each item may have as few as no flaws or as many as six. One product was discovered to be faulty after the inspection crew examined roughly 1000 goods. Determine the DPMO for the process and provide feedback on its suitability for six sigma.arrow_forwardDesign specifications require that a key dimension on a product measure 100kg plus and minus 3kg. If the value of the quality exceeds the target by the tolerance of 3kg on either side, the product will be likely to fail during the warranty period and cost $480 for repair. A process being considered for producing this product has a standard deviation of 1.5kg A) Compute the process capability ratio if the process is centered. Is it capable to meet the quality specification? Explain. B) If the original process in (part A) is incapable, what should be the standard deviation of the process to make it capable? C) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable? D) What is the average loss per unit after the shift as in (part c)? Use Taguchi loss function for multi-products casearrow_forwardJim’s Outfitters, Inc., makes custom fancy shirts for cowboys. The shirts could be flawed in various ways, including flaws in the weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly examined 10 shirts, with the following results:Shirt Defects1 82 03 74 125 56 107 28 49 610 6a. Assuming that 10 observations are adequate for these purposes, determine the three-sigma control limits for defects per shirt.b. Suppose that the next shirt has 13 flaws. What can you say about the process now?arrow_forward
- Walton Company has measured its quality costs for the past two years. After the company gathers its quality cost data, it summarizes those costs using the four categories shown below: Last Year This Year Prevention costs $ 349,900 $ 617,500 Appraisal costs $ 449,500 $ 523,200 Internal failure costs $ 805,800 $ 520,000 External failure costs $ 1,111,000 $ 673,200 1. Calculate the total cost of quality last year and this year. 2. For last year, calculate the cost in each of the four categories as a percent of the total cost of quality. 3. For this year, calculate the cost in each of the four categories as a percent of the total cost of quality.arrow_forwardA quality characteristic of interest for a tea-bag-filling process isthe weight of the tea in the individual bags. If the bags are underfilled,two problems arise. First, customers may not be able to brew the teato be as strong as they wish. Second, the company may be in violationof the truth-in-labeling laws. For this product, the label weight on thepackage indicates that, on average, there are 5.5 grams of tea in a bag. Ifthe mean amount of tea in a bag exceeds the label weight, the companyis giving away product. Getting an exact amount of tea in a bag is problematic because of variation in the temperature and humidity insidethe factory, differences in the density of the tea, and the extremely fastfilling operation of the machine (approximately 170 bags per minute).The file Teabags contains these weights, in grams, of a sample of50 tea bags produced in one hour by a single machine:5.65 5.44 5.42 5.40 5.53 5.34 5.54 5.45 5.52 5.415.57 5.40 5.53 5.54 5.55 5.62 5.56 5.46 5.44 5.515.47…arrow_forwardSuppose that a quality characteristic is normally distributed with specifications at 100 ± 20. The process standard deviation is 6.(a) Suppose that the process mean is 100. What are the natural tolerance limits? Calculate Cp and Cpk and interpret these ratios. What fraction of parts do you expect to be defective?(b) Suppose that the process mean is 106. What are the natural tolerance limits? What is thefraction defective? Calculate Cp and Cpk and interpret these ratios.arrow_forward
- Design specifications require that a key dimension on a product measure 100kg plus and minus 3kg. If the value of the quality exceeds the target by the tolerance of 3kg on either side, the product will be likely to fail during the warranty period and cost $480 for repair. A process being considered for producing this product has a standard deviation of 1.5kg A) Compute the process capability ratio if the process is centered. Is it capable to meet the quality specification? Explain. B) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable? C) What is the average loss per unit after the shift as in (part b)? Use Taguchi loss function for multi-products casearrow_forwardRepresentatives of the Patriot Insurance Company take medical information over the telephone from prospective policy applicants prior to a visit to the applicant’s place of residence by a registered nurse who takes vital sign measurements. When the telephone interview has incorrect or incomplete information, the entire process of approving the application is unnecessarily delayed and has the potential of causing loss of business. The following data were collected to see how many applications contain errors. Each sample has 200 randomlyselected applications. Sample Defects Sample Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 18 29 12 14 11 30 25 27 16 25 18 25 16 20 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 15 40 35 21 24 9 20 17 28 10 17 22 14 19 20 a. What are the upper and lower control limits of a p-chart for the number of defective applications? Use z = 3.b. Is the process in statistical control?arrow_forwardThe specifications for a gasket that installs between two engine parts calls for a thickness of 6.0 mm ± .2 mm. The standard deviation of the process is estimated to be 0.05 mm. The process is known to operate at a mean thickness of 6.1 mm What are the upper and lower specification limits for the gasket? What are the Cp and Cpk values for this process? Is this process capable of producing the desired part?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,Operations ManagementOperations ManagementISBN:9781259667473Author:William J StevensonPublisher:McGraw-Hill EducationOperations and Supply Chain Management (Mcgraw-hi...Operations ManagementISBN:9781259666100Author:F. Robert Jacobs, Richard B ChasePublisher:McGraw-Hill Education
- Purchasing and Supply Chain ManagementOperations ManagementISBN:9781285869681Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. PattersonPublisher:Cengage LearningProduction and Operations Analysis, Seventh Editi...Operations ManagementISBN:9781478623069Author:Steven Nahmias, Tava Lennon OlsenPublisher:Waveland Press, Inc.
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Operations Management
Operations Management
ISBN:9781259667473
Author:William J Stevenson
Publisher:McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi...
Operations Management
ISBN:9781259666100
Author:F. Robert Jacobs, Richard B Chase
Publisher:McGraw-Hill Education
Purchasing and Supply Chain Management
Operations Management
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Cengage Learning
Production and Operations Analysis, Seventh Editi...
Operations Management
ISBN:9781478623069
Author:Steven Nahmias, Tava Lennon Olsen
Publisher:Waveland Press, Inc.