Operations Management (McGraw-Hill Series in Operations and Decision Sciences)
12th Edition
ISBN: 9780078024108
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Chapter 10, Problem 29P
Summary Introduction
To determine: Whether the process is in control.
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Describe how to construct process control charts and use them to determine whether a process is out of statistical control.
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.
You 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 Cpk
Chapter 10 Solutions
Operations Management (McGraw-Hill Series in Operations and Decision Sciences)
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_forwardWhen most processes are sampled for control chart purposes, why aren't they in statistical control?arrow_forwarddiscuss how to construct process control chart and use them to determine whether a process is out of statistical control?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 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_forwardUse the three-step process described in the previous section on Using Control Charts and RunsTests Together to decide if the following observations represent a process that is in control.Observation 1 2 3 4 5 6 7 8 9 10 11 12No. of errors 1 0 3 2 0 1 3 2 1 0 2 3arrow_forwardMcDaniel Shipyards wants to develop control charts to assess the quality of its steel plate. They take ten sheets of 1" steel plate and compute the number of cosmetic flaws on each roll. Each sheet is 20' by 100'. Based on the following data, develop limits for the control chart, plot the control chart, and determine whether the process is in control. Sheet Number of flaws 1 1 2 1 3 2 4 0 5 1 6 5 7 0 8 2 9 0 10 2arrow_forward
- A 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_forwardExplain how to construct process control chart and use them to determine whether a process is out of statistical control?arrow_forwardOur company has recently received a few customer complaints that its candles are not lasting the minimum 50 days previously advertised by the company. As the newly hired quality analyst you are planning to construct control charts that will give you a sense of the current status of the production process. To this end you have collected samples from 20 production batches. Use Microsoft Excel with answer based on both x̄-chart and R-chart plots -Is the candle production process in control? -What is your comment regarding the customer complaints? -Is there any scope of improvement? Use Microsoft Excel with answer based on both x̄-chart and R-chart plotsarrow_forward
- Choose a product on the market and discuss how process control charts could be used to monitor and control its quality during manufacturing. Be sure to specify at least 2 process attributes that should be statistically monitored or controlled during the manufacturing of the product you have chosen.arrow_forwardAn e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control Limitarrow_forward1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter Dataarrow_forward
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