Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 9, Problem 5PA
Summary Introduction
To determine: The level to which the standard deviation should be reduced in order to meet the target.
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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 case
The specification for a plastic liner for concrete highway projects calls for a thickness of 6.0 mm ± 0.1 mm. The standard deviation of the process is estimated to be 0.02 mm. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.03 mm. What is the Cp and Cpk for this process? About what percent of all units of this liner will meet specifications?
Linda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve
your manufacturing process. Your process engineering department has conducted experiments and found
that the valve has a mean (u) of 12.00 and a standard deviation (o) of 0.06. Your desired performance is u =
12.00 ±3 standard deviations, where o = 0.070.
For the given information, the process capability index (Cpk) =
(round your response to three decimal
places)
Chapter 9 Solutions
Operations Management
Ch. 9 - Prob. 1CQCh. 9 - Prob. 2CQCh. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - Prob. 9CQCh. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 1PACh. 9 - Prob. 2PACh. 9 - Prob. 3PACh. 9 - Prob. 4PACh. 9 - Prob. 5PACh. 9 - Prob. 6PACh. 9 - Prob. 7PACh. 9 - Prob. 8PACh. 9 - Prob. 9PACh. 9 - Prob. 10PACh. 9 - Prob. 11PACh. 9 - Prob. 12PACh. 9 - Prob. 1CCh. 9 - Prob. 2C
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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
- The 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_forwardLinda Boardman, Inc., an equipment manufacturer in Boston, has submitted a sample cutoff valve to improve your manufacturing process. Your process engineering department has conducted experiments and found that the valve has a mean of 8.00 and a standard deviation of .04. Your desired performance is = 8.0 ± 30, where o = 0.047. Is the following statement true or false? Can Boardman produce the valve within the specified tolerance? (TRUE=yes, it can; FALSE=no, it cannot) O True O Falsearrow_forwardA metal fabricator produces connecting rods with an outer diameter that has a 1 ± 0.04 inch specification. A machine operator takes several sample measurements over time and determines the sample mean outer diameter to be 1.003 inches with a standard deviation of 0.020 inch. Calculate the process capability index.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) Suppose the original process average shifts to 99kg, maintaining the current dispersion. Calculate the process capability index after the shift. Is it capable? B) What is the average loss per unit after the shift as in (part a)? Use Taguchi loss function for multi products casearrow_forwardThe 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?arrow_forwardDesign specifications require that a key dimension on a product measure 100 ± 10 units. A process being considered for producing this product has a standard deviation of four units. What can you say (quantitatively) regarding the process capability? Assume that the process is centered with respect to specifications. Note: Round your answer to 4 decimal places. Suppose the process average shifts to 92. Calculate the new process capability. Note: Round your answer to 4 decimal places. What is the probability of defective output after the process shift? Note: Use Excel's NORM.S.DIST function to find the correct probability. Round "z" values to 2 decimal places. Round your answer to 4 decimal places.arrow_forward
- A weighing process has an upper specification of 1.841 grams and a lower specification of 1.699 grams. A sample of parts had a mean of 1.77 grams with a standard devlalton of 0.024 grams. Round your answer to five decimal places. What is the probability of a defect for this system?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_forwardYou want to determine the control lines for a "p" chart for quality control purposes. If the total number of defects from all samples is 2,500, the number of samples is 100, and the sample size is 40, which of the following would be the standard deviation used in developing the control lines? Answers: 0.0484 0.2499 0.00687 0.00707 0.00765arrow_forward
- Design specifications require that a key dimensions on a product measures 346=12 units . A process is being considered for producing this product has a standard deviation of eight units. The process average has been shifted to 350 so that the process capability is 0.3333. Approximately, what percentage of items produced will be defective?arrow_forwardFrom a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a The USL and LSL will be separated by a distance of six sigma b The process center will be aligned with the LSL c The number of defects produced by the process will be 0.0018 parts per million d All of the abovearrow_forwardThe higher the acceptable risk, the smaller the sample size. True Falsearrow_forward
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