In an existing process, we have found that the lower and upper control limits for X-bar chart are 8.09 and 8.59 respectively. Whereas, the lowerand upper control limits for R-chart are 0 to 1.25 respectively The following measurements for one sample are taken: 8.05, 9.14, 8.28, and 9.25.Using X-bar chart only, what we can conclude about the process meanO a. Insufficient information to concludeO b. Process mean is out-of-control.O c.Process mean is in-controlO d. Overall process is in-control

Process mean is in control when the process mean lies between the upper and lower limit of control.…

Answered: In an existing process, we have found…

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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x and R Control Charts A cereal manufacturer fills cereal boxes to an averageweight of 20 ounces and has an average range of 2 ounces when the filling process is in control. A sample size of 10 boxes is used in evaluating the process.a. What are the CL, UCL, and LCL for the x and R charts?b. A sample with the following 10 measurements was just taken: 20, 21, 19, 18, 19, 21,22, 20, 20, 19. Is the process still in control?
Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed: Sample Mean Range 1 3.06 .42 2 3.15 .50 3 3.11 .41 4 3.13 .46 5 3.06 .46 6 3.09 .45 Using the factors in Table 10.3 , determine upper and lower limits for mean and range charts. Is the process in control?
Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed: Sample Mean Range Sample Mean Range 1 3.06 .42 4 3.13 .46 2 3.15 .50 5 3.06 .46 3 3.11 .41 6 3.09 .45 a. Using the factors in Table 10.3 , determine upper and lower limits for mean and range charts. b. Is the process in control?
Shift in the process mean for a measured variable would be best detected by a O a. p chart P b. chart Of. a chart O d. x barchart O e. R Chart
10. To monitor the quality of pepperoni pizzas, a quality control manager collects random samples of pizzas and evaluates them. The process mean and standard deviation for the weight and diameter of pizzas are not known. Which of the following(s) is a correct matching between the type of data collected and the choice of control chart used? Select all correct matchings. Select one: a. The manager weighed the sampled pizzas and constructed a c-chart. b. The manager rated the appearance of sampled pizzas as acceptable or unacceptable and then constructed a c-chart. c. The manager counted the number of pepperonis per each inspected pizza and constructed a mean chart. d. The manager measured the diameter of the sampled pizzas and constructed a range chart.
Twelve samples, each containing five parts, were takenfrom a process that produces steel rods at Emmanuel Kodzi’sfactory. The length of each rod in the samples was determined.The results were tabulated and sample means and ranges werecomputed. The results were: a) Determine the upper and lower control limits and the overallmeans for x -charts and R -charts.b) Draw the charts and plot the values of the sample means andranges.c) Do the data indicate a process that is in control?d) Why or why not?
A process considered to be in control measures an ingredient in ounces. Roberto Baggio, a quality inspector took 20 samples, each with 8 observations as follows: thats in the pictuer after that 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 0.693. First: perform all actions and calculations needed to answer the question. All equations/calculations needed to be fully written STEP by STEP. No short calculations or direct answers/results will be accepted. This applies to the calculations for both types of control limits (mean and range). Second: Explain the process followed to identify each type of control limit and any observations made in the problem-solving process. thank you very much
Control limits for anx−Chart have been determined as: UCLx= 56.4 and LCLx= 53.2 Sample averages for the most recent five samples, in sequential order, are 53.7, 53.8,54.7, 55.4, and 56.3. What should be concluded about the process average? Shouldsome action be taken? Why or why not?
For question 1 choose from the following: x bar-chart, c-chart, p-chart, or none of the about. 1. The process involving filling of a high value medicine into standard containers of 50 gms. 2. 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 3. Which of the following statements depict the meaning of "total" in the term TQM? a) The total of all efforts put by the employees towards quality b) Total satisfaction of the customers about a company's products and services c) Ensuring every supplier follows quality practices in their work place d) Making quality happen everywhere in an organization by involving everyone
The inner diameter of piston rings follows a normal distribution with mean 75mm and variance =9. The sample size is 5, X-bar chart is established. If L =2, what is the type I error rate when process is in-control? If we change the control limits to UCL = 78.354, and LCL = 71.646, what is Type I error rate?
Webster Chemical Company produces mastics and caulking for the construction industry. The product is blended in large mixers and then pumped into tubes and capped. Management is concerned about whether the filling process for tubes of caulking is in statistical control. The process should be centered on 8 ounces per tube. Several samples of eight tubes were taken, each tube was weighed, and the weights in Table were obtained. Ounces of Caulking Per Tube Tube Number Sample 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7.98 8.33 7.89 8.24 7.87 8.13 8.34 8.22 7.77 8.18 8.13 8.14 8.02 8.08 7.91 7.83 7.92 8.11 7.94 8.51 8.04 8.05 7.99 8.13 8.44 8.41 8.00 7.90 8.10 8.14 7.68 8.28 7.89 8.16 7.81 8.12 7.81 8.09 7.93 7.97 8.14 8.13 8.11 8.16 8.09 8.07 7.88 8.14 a. Assume that only six samples are sufficient and develop the control charts for the mean and the range.b. Plot the observations on the control chart and comment on your findings.
Administering new bank accounts is intended to average 15 minutes each. Five samples of four observations each have been taken. Use the sample data in concurrence with Table 2.3 to create upper and lower control limits for both a mean chart and a range chart. Do results propose that the procedure is in control? Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 11.2 11.3 10.7 10.9 10.8 10.9 10.8 10.9 11.3 11.2 10.8 10.9 10.9 11.1 11.3 11.1 11.4 11.1 11.5 10.7 Total: 44 44.4 43.6 44.8 44

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