Principles Of Operations Management
11th Edition
ISBN: 9780135173930
Author: RENDER, Barry, HEIZER, Jay, Munson, Chuck
Publisher: Pearson,
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Chapter 6.S, Problem 28P
Summary Introduction
To determine: The upper and lower control limit for a 3-sigma control chart.
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Students have asked these similar questions
The overall average of a process you are attemptingto monitor at Gihan Edirisinghe Motors is 75 units. The processstandard deviation is 1.95, and the sample size is 11 = 10. Whatwould be the upper and lower control limits for a 3-sigma controlchart?
A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: SEE ATTACHED PHOTO
Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation ofthe process is 1.36.
The overall average on a process you are attempting to monitor is
60.0
units. The process population standard deviation is
1.72.
Sample size is given to be
4.
Part 2
a) Determine the 3-sigma
x-chart
control limits.
Upper Control Limit
(UCLx)=enter your response here
units (round your response to two decimal places).
Part 3
Lower Control Limit
(LCLx)=enter your response here
units (round your response to two decimal places).
Part 4
b) Now determine the 2-sigma
x-chart
control limits.
Upper Control Limit
(UCLx)=enter your response here
units (round your response to two decimal places).
Part 5
Lower Control Limit
(LCLx)=enter your response here
units (round your response to two decimal places).
Part 6
How do the control limits change?
A.
The control limits are tighter for the 3-sigma
x-chart
than for the 2-sigma
x-chart.
B.
The control limits for the
2-sigma
x-chart
and for the 3-sigma
x-chart
are the same.
C.
The control limits…
Chapter 6 Solutions
Principles Of Operations Management
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - Prob. 18DQCh. 6.S - Prob. 19DQCh. 6.S - Prob. 1PCh. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Prob. 5PCh. 6.S - Prob. 6PCh. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 36PCh. 6.S - Prob. 37PCh. 6.S - Prob. 39PCh. 6.S - Prob. 40PCh. 6.S - Prob. 41PCh. 6.S - Prob. 42PCh. 6.S - Prob. 43PCh. 6.S - Prob. 44PCh. 6.S - Prob. 45PCh. 6.S - Prob. 46PCh. 6.S - Prob. 48PCh. 6.S - Prob. 49PCh. 6.S - Prob. 50PCh. 6.S - Prob. 51PCh. 6.S - Prob. 52PCh. 6.S - Prob. 53PCh. 6.S - Prob. 54PCh. 6.S - Prob. 55PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1EDCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - Prob. 18DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 3.1VCCh. 6 - Prob. 3.2VCCh. 6 - Prob. 3.3VCCh. 6 - Prob. 3.4VCCh. 6 - Prob. 3.5VC
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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_forwardDevelop a p chart with 3 sigma control limits and evaluate whether the process is in statical controlarrow_forwardA process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation of the process is 1.36. Discuss whether the process is in control or not.arrow_forward
- 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 -6.167arrow_forwardA 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_forwardResistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 13.7. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. c. Determine the UCL and LCL for a X−X− chart. (Round your answers to 3 decimal places.) d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)arrow_forward
- Can someone please explain how to find upper and lower limits using Excel? I am trying to answer this question: The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.84 Sample size is given to be 4.a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = ____units (round your response to two decimal places).arrow_forwardThe overall average on a process you are attemptingto monitor is 50 units. The process population standard deviationis 1.72. Determine the upper and lower control limits for a meanchart, if you choose to use a sample size of 5. PXa) Set z = 3.b) Now set z = 2. How do the control limits change?arrow_forward2. The overall average on a process you are attempting to monitor is 50.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. Part 2 a) Determine the 3-sigma x-chart control limits. (UCLx)=Upper Control Limit _______ units (round your response to two decimal places). Lower Control Limit (LCL- ) = _____ units (round your response to two decimal places). How do the control limits change? A-The control limits for the 2 -sigma overbar x-chart and for the 3-sigma x -chart are the same B- The control limits are tighter for the 2-sigma overbar x -chart than for the 3-sigma x -chart. C- The control limits are tighter for the 3-sigma overbar x -chart than for the 2-sigma x -chart.arrow_forward
- A new process is started, and the sum of the sample standard deviations for 25 subgroups of size 4 is 750. If the specifications are 700 +_ 80, what is the process capability index? What action would you recommend?arrow_forwardA woodworker is concerned about the quality of the finished appearance of her work. She has finished a total of 50 unit split-willow hand-woven baskets. However, she has found the following number of finish defects in ten units sampled: 4,0,3,1,2,0,1,2,0,2. Calculate the average number of defects per basket. If 3-sigma control limits are used, calculate the lower control limit and upper control limit.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_forward
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