CONNECT F/OPERATIONS MGMT
14th Edition
ISBN: 9781264344963
Author: Stevenson
Publisher: INTER MCG
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Question
Chapter 10, Problem 9DRQ
Summary Introduction
To explain: Whether the data is random, when two run test results reveal non-randomness for a set of data.
Run test: It is a statistical tool that is used to examine a string of data which occurs randomly in a specific distribution. Usually, run test is used to examine identical events that are separated by dissimilar events.
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If both run tests are used, and neither reveals nonrandomness, does that prove that the process israndom? Explain.
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Representatives 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.
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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?
Chapter 10 Solutions
CONNECT F/OPERATIONS MGMT
Ch. 10.2 - Prob. 1.1RQCh. 10.2 - Prob. 1.2RQCh. 10.4 - Prob. 1.1RQCh. 10.4 - Prob. 1.2RQCh. 10 - Prob. 1DRQCh. 10 - Prob. 2DRQCh. 10 - Prob. 3DRQCh. 10 - Prob. 4DRQCh. 10 - Prob. 5DRQCh. 10 - Prob. 6DRQ
Ch. 10 - Prob. 7DRQCh. 10 - Prob. 8DRQCh. 10 - Prob. 9DRQCh. 10 - Prob. 10DRQCh. 10 - Prob. 11DRQCh. 10 - Prob. 12DRQCh. 10 - Prob. 13DRQCh. 10 - Prob. 14DRQCh. 10 - Prob. 15DRQCh. 10 - Prob. 16DRQCh. 10 - Prob. 1TSCh. 10 - Prob. 2TSCh. 10 - Prob. 3TSCh. 10 - Prob. 1CTECh. 10 - Prob. 2CTECh. 10 - Prob. 3CTECh. 10 - Prob. 4CTECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - A production process consists of a three-step...Ch. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - Prob. 28PCh. 10 - Prob. 29PCh. 10 - Prob. 1.1CQCh. 10 - Prob. 2.1CQCh. 10 - Prob. 2.2CQCh. 10 - Prob. 2.3CQCh. 10 - Prob. 2.4CQ
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- Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: (given) a. What are the three-sigma control limits for this process?b. Do any of the sample points fall outside of the control limits?c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What difficulty would arise if the control limits were based on a target value of 0.03? In view of the company’s claims, what difficulty would arise if the control limits computed in part (a) were used?arrow_forwardNanosElectron, Inc. manufactures 75,000 circuit boards per month. A random sample of 800 boards is inspected every week for three characteristics. During a recent week, four defects were found for one characteristic, two defects were found for another characteristic, and one defect was found for the third characteristic. If these inspections produced defect counts that were representative of the population, what is the overall sigma level for this process? What is the sigma level for the characteristic that showed four defects?arrow_forwardQuality control in a factory pulls 40 parts with paint, packaging, or electronic defects from anassembly line. Of these, 28 had a paint defect, 17 had a packaging defect, 13 had an electronicdefect, 6 had both paint and packaging defects, 7 had both packaging and electronics defects, and 10had both paint and electronic defects. Did any part have all three types of defect? If so, how many?arrow_forward
- C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?arrow_forward4. C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. a. Calculate the capability ratio for this machine. b. Calculate the capability index for this machine c. Should C-Spec use this machine to produce this part? d. Explain why? e. Show computationarrow_forwardIs a capable process a perfect process? That is, does acapable process generate only output that meets specifications? Explain.arrow_forward
- If all observations are within control limits, does that guarantee that the process is random? Explain.arrow_forwardWhat are some prevalent mistakes observed in the domain of Performance Testing?arrow_forward70 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 38 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 13 percent for component X. Alpha has a 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? 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. b. What is the allowable number of defects…arrow_forward
- Why is it usually desirable to use both a median run test and an up/down run test on the same data in an production of organization ?arrow_forwardUsing samples of 200 credit card statements, an auditor found the following:Sample 1 2 3 4Number with errors 4 2 5 9a. Determine the fraction defective in each sample.b. If the true fraction defective for this process is unknown, what is your estimate of it?c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?d. What control limits would give an alpha risk of .03 for this process?e. What alpha risk would control limits of .047 and .003 provide?f. Using control limits of .047 and .003, is the process in control?g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What arethe values of the mean and standard deviation of the sampling distribution?h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using twosigma control limits. Is the process in control?arrow_forwardIf parts in a sample are measured and the mean of thesample measurement is outside the control limits:a) the process is out of control, and the cause should beestablished.b) the process is in control but not capable of producingwithin the established control limits.c) the process is within the established control limits, withonly natural causes of variation.d) all of the above are true.arrow_forward
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