Based on the x-chart, is one or more samples beyond the control limits?For the given data, the R = inches (round your response to four decimal places).%3DThe control limits for the 3-sigma R-chart are:Upper Control Limit (UCLR) = inches (round your response to four decimal places).Lower Control Limit (LCLR) = inches (round your response to four decimal places).Based on the R-chart, is one or more samples beyond the control limits? Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) for this problem.Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length ofeach rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were:Sample Mean(in.)Range(in.)SampleSample Sample Mean (in.) Range (in.)19.4040.04479.4030.02129.4020.05189.4050.05839.3930.0429.3950.03949.4040.037109.4010.0389.3990.048119.4010.0549.3970.053129.4040.061For the given data, the x =inches (round your response to four decimal places).Based on the sampling done, the control limits for 3-sigma x chart are:Upper Control Limit (UCL;) = inches (round your response to four decimal places).Lower Control Limit (LCL;) = inches (round your response to four decimal places).

Given- Sample Sample Mean Range 1 9.404 0.044 2 9.402 0.051 3 9.393 0.042 4 9.404 0.037…

Answered: Refer to Table S6.1 - Factors for…

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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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 -6.167
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?
Using samples of 200 credit card statements, an auditor found the following:Sample 1 2 3 4Number with errors 4 2 5 9a. Determine the fraction defective in each sample.b. If the true fraction defective for this process is unknown, what is your estimate of it?c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size?d. What control limits would give an alpha risk of .03 for this process?e. What alpha risk would control limits of .047 and .003 provide?f. Using control limits of .047 and .003, is the process in control?g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What arethe values of the mean and standard deviation of the sampling distribution?h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using twosigma control limits. Is the process in 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 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 quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X- bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X- bar chart is 7.664, what should be the most appropriate sample size? O a. 3 O b. None is correct O C. 4 O d. 6 O e. 5
The Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the com-pany quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The re-sults of 20 samples have been recorded as follows:Construct a p-chart for this process using 2 limits and for each of the last 30 weekdays are shown as follows:describe the variation in the process. Sample Defectives Sample Defectives1 14 11 182 12 12 103 9 13 194 10 14 205 11 15 176 7 16 187 8 17 188 14 18 229 16 19 2410 17 20 23
1. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=53.6253.62 units (round your response to two decimal places). b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCLx)=? units (round your response to two decimal places). 2. Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 0.729 2.282 0 5 0.577 2.115 0 6 0.483 2.004 0 7 0.419 1.924 0.076 8 0.373 1.864 0.136 9 0.337 1.816 0.184 10 0.308 1.777 0.223 12 0.266 1.716 0.284 Thirty-five samples of size 7 each were taken from a…
Using samples of 200 credit card statements, an auditor found the following: Sample 1 2 3 4 Number with errors 4 2 5 9 a. Determine the fraction defective in each sample. b. If the true fraction defective for this process is unknown, what is your estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? Page 457 e. What alpha risk would control limits of .047 and .003 provide? f. Using control limits of .047 and .003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control? Can you show me the steps and formulas using excel
The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time. Top Dimples 1 7 2 8 3 12 4 9 5 4 6 14 7 7 8 3 9 6 10 8 a. Assuming 10 observations are adequate for this purpose, determine the three-sigma control limits for dimples per camper top. The UCLc equals nothing and theLCLc equals nothing. (Enter your responses rounded to two decimal places. If your answer for LCLc is negative, enter this value as 0.) b. Suppose that the next camper top has 16 dimples. What can you say about the process now? A. The number of defects is greater than the upper control limit, so it is assumed that the process is in…
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. 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.)
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.
A machine at the Pacific Fruit Company fills boxes withraisins. The labeled weight of the boxes is 9 ounces. The company wants to construct an R-chart to monitor the fill-ing process and make sure the box weights are in control. The quality-control department for the company sampledfive boxes every two hours for three consecutive workingdays. The sample observations are as follows: Construct an R-chart from these data with 3 control lim-its, plot the sample range values, and comment on process control. Samples Box Weights (oz)1 9.06 9.13 8.97 8.85 8.462 8.52 8.61 9.09 9.21 8.953 9.35 8.95 9.20 9.03 8.424 9.17 9.21 9.05 9.01 9.535 9.21 8.87 8.71 9.05 9.356 8.74 8.35 8.50 9.06 8.897 9.00 9.21 9.05 9.23 8.788 9.15 9.20 9.23 9.15 9.069 9.98 8.90 8.81 9.05 9.1310 9.03 9.10 9.26 9.46 8.4711 9.53 9.02 9.11 8.88 8.9212 8.95 9.10 9.00 9.06 8.95

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