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
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)?
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
Northshore hospital surgeon, Bill, wants to build 3-sigma x- bar control limits for the open heart surgery. The target value
for the mean of the process (x-bar) is 10 units, and the standard deviation of the process is 8. If samples of size 16 are to
be taken, what will be the upper and lower control limits, respectively?
Question 33 options:
8 and 12
16 and 4
-8 and 28
18 and 6
16 and 4
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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- Why is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?arrow_forwardDevelop a p chart with 3 sigma control limits and evaluate whether the process is in statical controlarrow_forwardExplain what might cause a process to be out of control in managing quality ?arrow_forward
- 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_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 1.002 inches with a standard deviation of 0.009 inch. Calculate the process capability. 1.56 1.62 1.48 1.41 1.35arrow_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_forward
- The 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_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_forwardIn 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_forward
- 8. Product specifications call for a part at Vaidy Jayaraman's Metalworks to have a length of 1.100" ±.070". Currently, the process is performing at a grand average of 1.100" with a standard deviation of 0.015". Calculate the capability index of this process. The Cpk of this process is Is the process "capable"? No Yes (round your response to two decimal places).arrow_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_forwardA 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_forward
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