Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 10, Problem 8P
Summary Introduction
To determine:
The upper and lower control limits for the fraction and decide if the process is in control.
Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.
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Students have asked these similar questions
In process industry during a daily production run, a total of five (05) samples are collected with four (04)
observations within each sample. The sample means (X-bar) are; 14.09, 13.94,16.86, 20.00, and 16.64
respectively. The corresponding ranges are; 9.90, 7.73, 4.41, 7.56, and 3.49 respectively. The lower and upper
control limits of the x-bar chart are
respectively
O a. 11.44, 20.66
O b. 11.29, 20.65
C.
None is correct
Od.
11.47, 21.14
e.
11.47, 16.55
5. The upper and lower specification limits for a component are 3.98 and 4.02 inches, respectively.
The process standard deviation is .004, and the process average is 4.005 inches. Is this process
capable of achieving four-sigma performance (the four-sigma performance target value is 1.33)?
Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?
Chapter 10 Solutions
Operations Management
Ch. 10.2 - A potato chip is a delicate thing Fragile A pound...Ch. 10.2 - A potato chip is a delicate thing Fragile A pound...Ch. 10.5 - It's estimated that more than 7 000 hospital...Ch. 10.5 - It's estimated that more than 7 000 hospital...Ch. 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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- The inner diameter of piston rings follows a normal distribution with mean 75mm and variance =9. The sample size is 5, X-bar chart is established. If L =2, what is the type I error rate when process is in-control? If we change the control limits to UCL = 78.354, and LCL = 71.646, what is Type I error rate?arrow_forwardThe Watson Electric Company produces incandescent light bulbs. The following data on the number oflumens for 40-watt light bulbs were collected when the process was in control. a. Calculate control limits for an R-chart and an x-chart.b. Since these data were collected, some new employees were hired. A new sample obtained the following readings: 625, 592, 612, and 635. Is the process still in control?arrow_forwardFor question 1 choose from the following: x bar-chart, c-chart, p-chart, or none of the about. 1. The process involving filling of a high value medicine into standard containers of 50 gms. 2. From 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 above 3. Which of the following statements depict the meaning of "total" in the term TQM? a) The total of all efforts put by the employees towards quality b) Total satisfaction of the customers about a company's products and services c) Ensuring every supplier follows quality practices in their work place d) Making quality happen everywhere in an organization by involving everyonearrow_forward
- Studies on a machine that molds plastic water pipe indicate that when it is injecting1-inch diameter pipe, the process standard deviation is 0.05 inches. The one-inchpipe has a specification of 1-inch plus or minus 0.10 inch. What is the processcapability index (Cp) if the long-run process mean is 1 inch?arrow_forwardThe McGranger Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of five completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The McGranger Mortgage Company made some changes to the process and undertook a process capability study. The following data were obtained for 15 samples of size 5. Based on the individual observations, management estimated the process standard deviation to be 3.42 (days) for use in the process capability analysis. The lower and upper specification limits (in days) for the mortgage process times were 9 and 25. View an example 1 2 14 14 11 14 Get more help. 3 10 5 Sample Mean Range a. Calculate the process capability index and the process capability ratio values. The process capability index Cpk =. (Enter your response rounded to three decimal places.) 4 5 18 15 12 11 6 14 9 MacBook Pro 7 8 19 18 9 16…arrow_forwardSpecifications for a metal shaft are much wider than the machine used to make shafts is capable of. Consequently, the decision has been made to allow the cutting tool to wear a certain amount before replacement. The tool wears at the rate of 0.004 centimeter per piece. The process has a natural variation, o, of 0.010 centimeter and is normally distributed. Specifications are 15.0 to 15.2 centimeters. A three-sigma cushion is set at each end to minimize the risk of output outside of the specifications. Wear rate 3σ 1 30 Starting Ending Lower specification process Upper specification process mean mean Number of shafts How many shafts can the process turn out before tool replacement becomes necessary? (See diagram.) (Do not round intermediate calculations. Round your final answer to the nearest whole number.) Number of shafts piecesarrow_forward
- In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters In a particular hour, the sample means (X-bar) are noted to be: 172.11, 219.58, 208.24, 112.44, and 123.30 respectively. In the same sample, the corresponding ranges are: 13.17, 3.38, 15.34, 13.0 , and 13.02 respectively What are the lower and upper control limits for the X-bar chart? a . 157.21 , 177.05 b. 146.01, 157.87 c. 159.25, 175.02 d. 142.92, 160.66 e. 143.55, 165.47 f. None is correctarrow_forwardSpecifications for a metal shaft are much wider than the machine used to make the shafts is capableof. Consequently, the decision has been made to allow the cutting tool to wear a certain amountbefore replacement. The tool wears at the rate of .004 centimeter per piece. The process has a naturalvariation, σ, of .02 centimeter and is normally distributed. Specifications are 15.0 to 15.2 centimeters.A three-sigma cushion is set at each end to minimize the risk of output outside of the specifications.How many shafts can the process turn out before tool replacement becomes necessary?arrow_forwardThe McGranger Mortgage Company is interested in monitoring the performance of the mortgage process. Fifteen samples of five completed mortgage transactions each were taken during a period when the process was believed to be in control. The times to complete the transactions were measured. The McGranger Mortgage Company made some changes to the process and undertook a process capability study. The following data were obtained for 15 samples of size 5. Based on the individual observations, management estimated the process standard deviation to be 3.21 (days) for use in the process capability analysis. The lower and upper specification limits (in days) for the mortgage process times were 2 and 17. 8 Sample Mean 2 3 4 6. 7 10 11 12 13 14 15 9 5 13 10 8 14 13 10 11 15 6 12 11 6 Range 9 12 3 10 9 9 7 14 13 10 4 5 11 9 10 a. Calculate the process capability index and the process capability ratio values. The process capability index C,nk = .727. (Enter your response rounded to three decimal…arrow_forward
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