i. Calculate control limits for an R-chart and an x-chart ii. Since these data were collected, some new employees were hired. A new sample obtained the following readings: 625, 592, 612, and 635. Is the process still in control?
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- Lahey Motors specializes in selling cars to buyers with a poor credit history. Listed is the number of cars that were repossessed from Lahey customers because they did not meet the payment obligations over each of the last 36 months. 9 6 10 3 11 12 9 22 12 4 10 11 3 10 11 15 20 20 7 10 10 9 15 8 12 10 12 16 9 16 13 5 7 10 10 11 a. Find the control limits from the c-bar data for the number repossessed. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Mean number of defects per unit LCL UCL b. Were there any months when the number was out of control? multiple choice Yes NoRefer 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 of each 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.) Sample Sample Sample Mean (in.) Range (in.) 1 9.404 0.044 7 9.403 0.021 2 9.402 0.051 8 9.405 0.058 3 9.393 0.042 9.395 0.039 4 9.404 0.037 10 9.401 0.038 9.399 0.048 11 9.401 0.054 9.397 0.053 12 9.404 0.061 For 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).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: 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 .
- K 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. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = b) Now determine the 2-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL) = units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places). units (round your response to two decimal places).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?Using samples of 197 credit card statements, an auditor found the following: Sample 1 3 errors Sample 2 3 errors Sample 3 5 errors Sample 4 9 errors 1. what alpha risk would control limits of .0470 and .0038 provide? 2. Using control limits of .0470 and .0038, is the process in control? 3. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control?
- 3. A large beverage company would like to use statistical process control to monitor a new bottlingmachine designed to load liquid into 350-ml bottles. This company knows that the exact amountthe machine places in each bottle can naturally vary by a small amount but does not have any more specific information about the process. The company operated this new machine under careful supervision, confident that the machine was under complete control, for 7 hours. Each hour, a sample of nine bottles was taken off the line and the amount of liquid in each bottle was carefully measured. This is the resulting data: Sample Sample Mean (ml) Sample Range (ml) 350.85 0.6 350.80 0.8 0.5 351.20 351.00 1.0 350.62 0.8 351.12 0.7 0.8 351.50 a. Where should the control limits be placed on a mean chart intended to monitor thismachine in the future, using the same sampling procedure that produced this data? b. Where should the control limits be placed on a range chart intended to monitor thismachine in the…6 of 11 5 3. The manager of a building-supplies company randomly samples incoming lumber to see whether it meets quality specifications. From each shipment, 100 pieces of 2 x 4 lumber are inspected and judged according to whether they are first (acceptable) or second (defective) grade. The proportions of second-grade 2 x 4s recorded for 30 shipments were as follows: a. Construct a control chart for the proportion of second-grade 2 x 4s in samples of 100 pieces of lumber. b. Explain how the control chart can be of use to the manager of the building supplies company. Shipment No. Proportion of second grade 1 0.14 2 0.22 3 0.21 4 0.15 0.19 0.26 7 0.18 8 0.22 9 0.23 10 0.21 11 0.2 12 0.14 13 0.25 14 0.2 15 0.19 16 0.18 17 0.22 18 0.22 19 0.17 20 0.21 21 0.21 22 0.13 23 0.15 24 0.2 25 0.23 26 0.23 27 0.12 28 0.19 29 0.19 30 0.26If the mean of a particular sample is within control limits and the range of that sample is not within control limits: a) the process is in control, with only assignable causes of variation. b) the process is not producing within the established control limits. c) the process is producing within the established control limits, with only natural causes of variation. d) the process has both natural and assignable causes of variation
- C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk��� ) for this machine. Note: Round your answer to 3 decimal places. Should C-Spec use this machine to produce this part? multiple choice Yes NoThe objective of statistical process control (SPC) is to: Determine whether a batch of raw materials should be accepted or rejected. Determine whether a batch of finished goods should be accepted or rejected. Detect assignable cause variations versus normal random variations in the process. Identify variable versus attribute measures.The temperature of a burrito served to a customer in a local Mexican restaurant A: Discrete B; Continous