Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 26P
Summary Introduction
Interpretation: The capacity of the process of producing the part at three-sigma level is to be determined.
Concept Introduction:
The X-chart is used to determine the central tendency of the process. By using the X-chart it easy to determine the abnormalities of the process along with the errors which are responsible for these errors.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000 ± 3.000 millimeters. Management is concerned about the capability of the process to produce that part. The following data (shown below) were randomly collected during test runs of the process:
Observation (Millimeters)
Sample
1
2
3
4
5
6
7
8
1
9.100
8.900
8.800
9.200
8.100
6.900
9.300
9.100
2
7.600
8.000
9.000
10.100
7.900
9.000
8.000
8.800
3
8.200
9.100
8.200
8.700
9.000
7.000
8.800
10.800
4
8.200
8.300
7.900
7.500
8.900
7.800
10.100
7.700
5
10.000
8.100
8.900
9.000
9.300
9.000
8.700
10.000
Assume that the process is in statistical control. Is the process capable of producing the part at the three-sigma level? Explain.
An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitoredusing means of samples of 25 observations.a. Determine upper and lower control limits that will include roughly 97 percent of the samplemeans when the process is in control.b. Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?
A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [14, 13, 24, 22]; Machine #2 measurements [ 14, 19, 23, 14]; Machine #3 measurements [ 14, 16, 13, 16]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?
a.
24.65and 9.013
b.
22.43and 11.24
c.
18.9and 14.76
d.
39.83and -6.167
Chapter 3 Solutions
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
Ch. 3 - Should a very pricey handcrafted object of beauty...Ch. 3 - Prob. 2DQCh. 3 - Prob. 3DQCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7P
Ch. 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. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 31PCh. 3 - Prob. 1AMECh. 3 - Prob. 2AMECh. 3 - Prob. 3AMECh. 3 - Prob. 4AMECh. 3 - Prob. 5AMECh. 3 - Prob. 1VCCh. 3 - Prob. 2VC
Knowledge Booster
Similar questions
- A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results: For upper and lower control limits of 23.29 and 16.71, which machine(s), if any, appear(s) to have an out-of-control process mean?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_forwardThe Farley Manufacturing Company prides itself on the quality of its products. The company is engaged in competition for a very important project. A key element is a part that ultimately goes into precision testing equipment. The specifications are 8.000±3.000 millimeters. Management is concerned about the capability of the process to produce that part. The accompanying data were randomly collected during test runs of the process. The process capability index, Cpk, is equal to --------- (Enter your response rounded to three decimal places.) Data Table Observation (millimeters) Sample 1 2 3 4 5 6 7 8 1 7.800 8.500 9.700 8.300 8.300 8.500 7.800 8.700 2 7.300 6.800 7.000 7.000 8.500 8.100 9.600 9.400 3 8.500 7.100 7.600 8.300 7.800 9.200 6.800 7.100…arrow_forward
- A company making tires for bikes is concerned about the exact width of its cyclocrosstires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm.What is the process capability index for the process?arrow_forwardAt Webster Chemical Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Even when the process is in control, an average of four lumps per tube of caulk will remain. Testing for the presence of lumps destroys the product, so an analyst takes random samples. The following results are obtained: Tube No. Lumps Tube No. Lumps Tube No. Lumps 1 6 5 6 9 5 2 5 6 4 10 0 3 0 7 1 11 9 4 4 8 6 12 2 Determine the c-chart two-sigma upper and lower control limits for this process. Is the process in statistical control?arrow_forwardA fast-food company is preparing beef patties for their burgers. The lower specificationlimit for the burger is 240 grams and the upper specification limit is 260 grams. Thestandard deviation is 4 grams and the mean is 250 grams.What is the process capability index for the beef patty production?arrow_forward
- Assume the following: A quality manager at a popular restaurant in a New York has accurately measured the Cp & Cpk values associated with the delivery times of the food delivered by her restaurant. He has measured these values over an acceptable time period. The measured values are such that: Cp > 1, and Cpk < 1. Then: a. The process is both cappable and centered between the specification limits. b. The process is neither cappable nor centered between the specification limits. c. The process is cappable but not centered between the specification limits. d. The process is not cappable but centered between the specification limits.arrow_forwardThe 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_forwardAspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottleneck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (inch) from the last six samples are: BOTTLE Sample 1 2 3 4 1 0.694 0.622 0.698 0.69 2 0.687 0.611 0.697 0.613 3 0.671 0.680 0.695 0.602 4 0.610 0.615 0.685 0.678 5 0.680 0.624 0.618 0.614 6 0.685 0.693 0.607 0.669 What would be the center line of a 3-sigma S chart? Answer:arrow_forward
- Aspen Plastic produce plastic bottles to customer order. The quality inspector randomly selects four-bottles from the bottle machine and measures the outside diameter of the bottle neck. a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in Inches) from the last six sampes are Bottle Sample 1 2 3 4 1 0.594 0.622 0.598 0.590 2 0.587 0.611 0.597 0.613 3 0.571 0.580 0.595 0.602 4 0.610 0.615 0.585 0.578 5 0.580 0.624 0.618 0.614 6 0.585 0.593 0.607 0.569 Assume only these six samples are sufficient, and use the data to determine control limits for an R- and an X-chartarrow_forwardC-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_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_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 Education
Operations 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 Learning
Production 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.