Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Chapter 13, Problem 3P
Summary Introduction
Interpretation: Implication of a point plotted on a control chart falls outside one of the control limits.
Concept Introduction: Control charts are the statistical tool that measures the effectiveness of the business or production process. Any variation in the process is examined by the chart which has an upper control limit and lower control limit. These limits are the extreme value beyond which a process is said to be out of control.
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At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its length
is between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49
inches and a standard deviation of 0.014 inches. a) is the process capable of meeting specifications? b) Does the process meet specifications?
Describe how to construct process control charts and use them to determine whether a process is out of statistical control.
At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches.
A) Is the process capable of meeting specifications?
B) Does the process meet specifications?
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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- In a control chart, what would be the effect on the control limits if the sample size varied from one sample to the next?arrow_forwardwe have seen various methods to set control limits for control charts. Which method would you prefer and why?arrow_forwardWhy is it important to prove that a process is proven capable before developing statistical control limits (i.e., SPC charts)?arrow_forward
- A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard devia-tion in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the averageweight, in pounds, of nine of the bowling balls produced that dayhas been assessed as follows: a) Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control lim-its are each two standard deviations from the mean. What are the values of the control limits?b) If three standard deviations are used in the chart, how do thesevalues change? Why?arrow_forwarddiscuss how to construct process control chart and use them to determine whether a process is out of statistical control?arrow_forwardWhen most processes are sampled for control chart purposes, why aren't they in statistical control?arrow_forward
- Factors for Computing Control Chart Limits (3 sigma) 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 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 Part 4 c) What are the (UCLx) and (LCLx) using 3-sigma? (UCLx) = mm (round your response to two decimal places). (LCLx) = mmarrow_forwardExplain how to construct process control chart and use them to determine whether a process is out of statistical control?arrow_forwardDevelop a p chart with 3 sigma control limits and evaluate whether the process is in statical controlarrow_forward
- 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 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_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: Machine Measurements #1 17 15 15 17 #2 16 25 18 25 # 3 23 24 23 22 What is the estimate of the process mean for whenever it is under control? What is the sample average range based upon this limited sample? What are the x-bar chart upper and lower control limits?arrow_forwardIf a point on a control chart falls outside one of the control limits, this suggests that the process variation is random and should not be investigated . True or falsearrow_forward
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