A process sampled 20 times with a sample of size 8 resulted in = 28.5 and R = 1.8. Compute the upper and lower control limits for the chart for this process. (Round youranswers to two decimal places.)UCL =LCL =Compute the upper and lower control limits for the R chart for this process. (Round your answers to two decimal places.)UCL =LCL =

Natural process limits sometimes referred to as control limits, are horizontal lines placed on a…

Answered: A process sampled 20 times with a…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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At 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?
Resistors 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. To set up the machine and to create a control chart to be used throughout the run, 15 samples and their measured values are as follows: Sample Number Readings (in Ohms) 1 1010 991 985 986 2 995 996 1009 994 3 990 1003 1015 1008 4 1015 1020 1009 998 5 1013 1019 1005 993 6 994 1001 994 1005 7 989 992 982 1020 8 1001 986 996 996 9 1006 989 1005 1007 10 992 1007 1006 979 11 996 1006 997 989 12 1019 996 991 1011 13 981 991 989 1003 14 999 993 988 984 15 1013 1002 1005 992 Develop three-sigma appropriate control chart(s) from the chart(s) what comments can you make about the process? Explain and show work
A metal fabricator produces connecting rods with an outer diameter that has a 1 ± .01–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 .003 inch.a. Calculate the process capability index for this example.b. What does this figure tell you about the process?
C-Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± .003 inches. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches witha standard deviation of .002 inch. (Answer in Appendix D)a. Calculate the Cpk for this machine.b. Should C-Spec use this machine to produce this part? Why?
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 a standard deviation of .01 liter. Output is monitoredusing means of samples of 25 observations.a. Determine upper and lower control limits that will include roughly 97 percent of the samplemeans when the process is in control.b. Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?
A process screens a certain type of potash granule, resulting in a mean diameter of 0.067 cm and a standard deviation of 0.004 cm. The allowable variation in granule diameter is from 0.048cm to 0.087cm. Is the process capable? a. Cannnot be determined because sample size is not available b. Cannot be determined because USL and LSL information is not available c. Process is NOT capable d. Process is capable
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…
Which of the following statements about Pareto diagrams is correct?a. The Pareto diagram shows the possible root causes of a problem along with the numberof defect occurrences.b. The Pareto diagram shows the process capability index over time.c. The Pareto diagram shows the mean of a random sample at various points in time.d. The Pareto diagram shows a visual representation of binary outcome variables.
A process has a mean of 9.20 grams and a standard deviation of .30 gram. The lower specification limit is 7.50 grams and the upper specification limit is 10.50 grams. Compute Cpk
Please do not give solution in image format thanku A restaurant wants to make sure that they are serving customers quickly enough. Every day for 10 days, they sample 16 random customers, and measure how long it is until the waiter shows up. Uisng this sample data, the company calculates the 3-sigma control limits as LCL = 3.5 minutes and UCL = 6.5 minutes. What would be the LCL and UCL if the company uses 2-sigma control limits instead? 1. LCL = 4.5 minutes and UCL = 7.5 minutes 2. LCL = 3 minutes and UCL = 7 minutes 3. LCL = 4 minutes and UCL = 6 minutes 4. LCL = 4.5 minutes and UCL = 5.5 minutes
From a perspective of Statistical Process Control (SPC), a six-sigma process will have which of the following attributes? a The USL and LSL will be separated by a distance of six sigma b The process center will be aligned with the LSL c The number of defects produced by the process will be 0.0018 parts per million d All of the above
A pharmaceutical company producing vitamin capsules desires a proportion of calcium content between 40 and 55 ppm. A random sample of 20 capsules chosen from the output yields a sample mean calcium content of 44 ppm with a standard deviation of 3 ppm. Find the natural tolerance limits of the process. If the process is in control at the present values of its parameters, what proportion of the output will be nonconforming, assuming a normal distribution of the characteristic? Answer letters a, b, and c. a. Find the Cp index. Comment on the ability of the process to meet specifications. b. What proportion of the specification range is used up by the process? c. If it is easier to change the process mean than to change its variability, to what value should the process mean be set to minimize the proportion of nonconforming product?

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