Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Question
Chapter 13, Problem 17P
Summary Introduction
Interpretation:
The upper control limit and the lower control limit to be on the mean chart to observe the given canning process in the future.
Concept Introduction:
A control chart is used to determine whether the process is in control or not by variable values of the sample size of a process. The upper control limit (UCL) and the lower control limit are import attributes of the 3-sigma limits. In the case of the control chart, the UCL represents the upper control limit, whereas the lower control limit (LCL) represents the lower control limit. Apart from UCL and LCL, the 3-sigma limits also has one more attribute known as the control limit.
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Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor
that must be controlled. From sample sizes of 5 pistons produced each day, the mean and the range of this diameter have
been as follows:
Day
Mean (mm)
Range R (mm)
158
4.3
151.2
4.4
155.7
4.2
153.5
4.8
156.6
4.5
What is the UCL using 3-sigma?(round your response to two decimal places).
1.
2.
4.
Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight.
Based on a previously stable and in-control process, the control limits of the x- and R-charts are:
UCL-4.86, LCL- = 4.52,
UCLR=1.344, LCLR = 0.
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Based on the x-chart, is one or more samples beyond the control limits?
Sample
1
2
3
4
5
Yes
No
Loaf # 1
4.8
4.4
4.5
4.6
5.0
Net Weight
Loaf # 2
4.7
4.8
4.5
4.9
4.8
Loaf # 3
5.0
4.7
4.9
4.7
4.7
Loaf # 4
4.7
4.8
4.6
4.5
4.6
Chapter 13 Solutions
Practical Operations Management
Ch. 13 - Prob. 1DQCh. 13 - Prob. 2DQCh. 13 - Prob. 3DQCh. 13 - Prob. 4DQCh. 13 - Prob. 5DQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5P
Ch. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Prob. 23PCh. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 1.1QCh. 13 - Prob. 1.2QCh. 13 - Prob. 1.3QCh. 13 - Prob. 1.4Q
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- Can someone please explain to me how to complete 3-sigma control limits (upper and Lower) using Excel? This is the question I am trying to answer: Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 57.75 lb., Average range R = 1.78 lb.a) For the given sample size, the control limits for 3-sigma x chart are:Upper Control Limit (UCL) = ____Ib (round your response to three decimal places)arrow_forwardAn 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 standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.arrow_forward4. Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCLx = 5.35, LCLx = 4.93; UCLR = 0.894, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Net Weight Sample Loaf # 1 Loaf # 2 Loaf # 3 Loaf # 4 1 4.9 5.2 5.1 5.0 2 5.3 5.1 5.2 5.3 3 4.9 5.2 4.9 5.2 4 5.5 5.5 5.3 5.5 5 5.3 5.2 5.3 5.0 Part 2 Based on the x-chart, is one or more samples beyond the control limits? ▼ No Yes .arrow_forward
- Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer Oarrow_forwardBoxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.15 ounce. For a sample size of 49, the 3-sigma x chart control limits are: Upper Control Limit (UCL) = ounces (round your response to two decimal places). Lower Control Limit (LCL-) = ounces (round your response to two decimal places).arrow_forwardYou are an analyst for a company that produces parts for medical devices, and these parts must meet specifications required by your customer. You implement a process improvement to decrease the variation in diameter for one of the parts, and want to determine if the process improvement had any effect. What type of control chart would be most appropriate to determine if the process improvement did in fact reduce variation in the output of the process? Group of answer choices a X-bar b R c P d C e Cpkarrow_forward
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