Based on the x-chart, is one or more samples beyond the control limits? Yes No
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- 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 .Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: (given) a. What are the three-sigma control limits for this process?b. Do any of the sample points fall outside of the control limits?c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What difficulty would arise if the control limits were based on a target value of 0.03? In view of the company’s claims, what difficulty would arise if the control limits computed in part (a) were used?4. Cartons of Plaster of Paris are supposed to weigh exactly 32 oz. Inspectors want to develop process control charts. They take 5 samples of 6 boxes per sample and weigh them. Based on the following data, what are the lower and upper control limits for the 3-sigma mean chart and the range chart, respectively? Please keep two decimal places and select the best answers. Select one: a. [33.8, 34.76], [0, 2.00] b. [33.96, 34.60], [0, 1.18] c. [34.01, 34.55], [0, 1.12] d. [34.01, 34.55], [0.52, 2.52] e. [32.6, 35.96], [0, 1.12]
- 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?Can someone please explain to me how to complete 3-sigma control limits (upper and Lower) using Excel? This is the question I am trying to answer: Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 57.75 lb., Average range R = 1.78 lb.a) For the given sample size, the control limits for 3-sigma x chart are:Upper Control Limit (UCL) = ____Ib (round your response to three decimal places)Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 50. Results are given for the last 10 samples. Sample 1 2 3 4 5 6 7 8 9 10Defectives 5 8 3 5 6 5 5 4 1 11 a) Establish the control limits to include of the random variation in defectives. UCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). LCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). c) If the sample size were 100 instead, how would your limits and conclusions change? UCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three decimal places). LCLp = [ ? ] (enter your response as a number between 0 and 1, rounded to three…
- 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 excelUsing 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?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?
- 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 23The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control. Day Sample Size Defects 1 100 8 2 120 4 3 190 10 4 190 7 5 240 20 6 245 8 7 105 4 8 165 6 9 245 27 10 255 37 Find the UCL. Find the LCL. Is the process in control? Why/why not?Breeze Toothpaste Company has been having a problemwith some of the tubes of toothpaste leaking. The tubes are packedin containers with 100 tubes each. Ten containers of toothpastehave been sampled. Th e following number of toothpaste tubeswere found to have leaks: Develop a p-chart with 3-sigma control limits and evaluatewhether the process is in statistical control.
