Operations Management
17th Edition
ISBN: 9781259142208
Author: CACHON, Gérard, Terwiesch, Christian
Publisher: Mcgraw-hill Education,
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Chapter 9, Problem 13CQ
Summary Introduction
To determine: The statement that is correct about pareto digrams.
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Which of the following statements about Pareto diagrams is correct?a. The Pareto diagram shows the possible root causes of a problem but does not show thefrequency of defect occurrences.b. The Pareto diagram shows the defects in order from most commonly occurring to leastcommonly occurring.c. The Pareto diagram shows the mean of a random sample at various points in time.d. The bars in the Pareto diagram have, on average, roughly the same height.
Which of the following statements about Pareto diagrams is correct?a. The Pareto diagram shows the possible root causes of a problem along with the numberof defect occurrences.b. The Pareto diagram shows the process capability index over time.c. The Pareto diagram shows the mean of a random sample at various points in time.d. The Pareto diagram shows a visual representation of binary outcome variables.
You work for Raider Data Systems where thousands of insurance records are entered by clerks each day for a variety of client firms. You are in charge of setting control limits to include 99.73% of the random variation in the data entry process when it is in control. Samples that you collected from 20 employees are shown below. You carefully examine 100 records entered by each employee and count the number of errors entered by each clerk. You also compute the proportion defective in each sample. Using a p-chart, what are the upper and lower control limits?
Sample
Errors Made
Proportion Defective
1
4
0.04
2
5
0.05
3
6
0.06
4
3
0.03
5
8
0.08
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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- A 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_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_forwardWhich of the following is a distinguishing characteristic of using absolute quality conformance forsetting quality expectations?a. The ability to incorporate Taguchi quality loss functionsb. The use of the DMAIC (define, measure, analyze, improve, and control) problem-solving methodc. The ability to set performance standards as a range (or tolerance) around a targeted qualityperformance leveld. The ability to express the quality expectation in terms of Six Sigma performance expectationsarrow_forward
- 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. 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_forwardWhich of the following is NOT a common tool used in quality control a. acceptance sampling b. Pareto chart c. cause and effect diagram d. decision treesarrow_forwardWhich is an INCORRECT way to analyze the process capability of a process (on a particular quality characteristic) that is not normally distributed? a. Use Cp(q) b. None of those listed c. Transform the data to normal first and use the transformed data on indices such as Cp which work well on normally distributed data. d. Use Cpc e. Use Cpmkarrow_forward
- The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the estimate of the mean proportion of failures for these instructors?arrow_forwardA process screens a certain type of potash granule, resulting in a mean diameter of 0.067 cm and a standard deviation of 0.004 cm. The allowable variation in granule diameter is from 0.048cm to 0.087cm. Is the process capable? a. Cannnot be determined because sample size is not available b. Cannot be determined because USL and LSL information is not available c. Process is NOT capable d. Process is capablearrow_forwardA manager wanted to predict how much rework time would result from taking a manufacturing line from producing 8 hours a day to 24 hours a day. The manager carefully analyzed three years of performance from manufacturing lines that operated 8 hours a day to make the prediction. The manager is at risk of making what type of error? a Data overfitting error. b Extrapolation beyond the range error. c Outlier error. d Either a type I or type II error.arrow_forward
- In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above. Calculate p-bar based on the samples above. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%? Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.arrow_forwardA scatter diagram is useful to determine if a relationship exists between two variables.TrueORFalsearrow_forwardA machine cuts circular filters from large rolls of material. The diameters of the filters are normally distributed with a mean of 2.00 cm and a standard deviation of 0.02 cm. Specifications call for the filters to have diameters between 1.95 cm and 2.03 cm. What percent of production does not meet specificationsarrow_forward
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