a. Determine the p, Sp, UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). (Leave no cells blank. Roundup any negative LCL value to "O". Round your answers to 3 decimal places.)рSpUCLLCLb. What comments can you make about the process?O Process is in statistical controlO Process is out of statistical control Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number ofdefectives in each are shown in the following table.SAMPLEL2345678910n 15 15 15 15 15 15 15 15 15 15NUMBER OFDEFECTIVE ITEMSIN THE SAMPLE1000203103

Here, the total samples=10 and the sample size is 15, The defective data is presented in the…

Answered: a. Determine the p, Sp, UCL and LCL 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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Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table. SAMPLE LNMAS6789G 1 2 3 4 5 10 n 15 р Sp UCL LCL S555555555 15 15 15 15 15 15 15 15 15 NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 2 WONW/wwwON 3 3 3 1 3 2 0 3 a. Determine the p, Sp, UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). (Leave no cells blank. Round up any negative LCL value to "O". Round your answers to 3 decimal places.) 0.133 0.088 0.305 (0.039) b. What comments can you make about the process? O Process is out of statistical control ● Process is in statistical control
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 110231021 1 1 1 1 1 1 5555 5 5 5 5 5 5 n 15 15 15 15 15 15 15 15 15 10 15 123456789°
Boxes of Honey-Nut Oatmeal are produced to contain14 ounces, with a standard deviation of .I ounce. Set up the3-sigma :X-charl for a sample size of 36 boxes
Need help on calculating control limits for x-bar and r-chart based on the samples below: Sample No X-BAR (Sample Mean) R (Sample Range) X-BAR R 1 28.2151942 9.5450186 2 30.5767201 11.1032318 3 29.0253789 5.52221327 4 29.9431791 6.27087883 5 29.947177 12.7568255 6 29.6848334 11.4927456 7 29.2539019 4.72514932 8 29.6694257 13.9330532 9 30.1590205 6.33461804 10 28.6867307 6.49522527 11 30.5960109 8.13717125 12 29.4390565 5.80286433 13 31.863426 3.40227918 14 32.3716448 8.62217828 15 29.7052597 10.0026916 16 30.0060069 4.25003967 17 32.8491753 4.6515662 18 33.5023103 9.62764088 19 28.1876404 9.6980397 20 30.5043768 6.46724539 21 29.6856417 7.65071069 22 32.5728395 9.2483604 23 28.2363719 7.54975234 24 29.6579999 11.3224787 25 28.1319897 13.213391 26 28.8811004 8.08405181 27 31.6730765 12.9865678 28 28.2078142 5.96315947 29 27.9430689 7.39518992 30 29.6269815 9.48802129 31 34.3599108 7.66563648 32 28.2423234 7.34122645…
Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.
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 .
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: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6
At Webster Chemical Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. 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 0 2 7 6 5 10 5 3 2 7 5 11 2 4 4 8 8 12 3 Determine the c-chart two-sigma upper and lower control limits for this process. Is the process in statistical control? The UCLc equals ------ and the LCLc equals ------ (Enter your responses rounded to two decimal places.)
A control chart for fraction nonconforming is to be established using a center line of p=0.03. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.08 with probability 0.50? 1269 475 73 316 216 2 105 150 265
Boxes of Honey-Nut Oatmeal are produced tocontain 14 ounces, with a standard deviation of .1 ounce. Setup the 3-sigma x-chart for a sample size of 36 boxes.
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 Sample Mean (in.) Range (in.) Sample Sample Mean (in.) Range (in.)1 9.700 0.044 7 9.703 0.0212 9.700 0.051 8 9.707 0.0583 9.689 0.042 9 9.695 0.0394 9.706 0.037 10…
Five data entry operators work at the data processing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 250 records typed by these operators has been noted, as follows: Sample No. 12 2 3 4 5 6 7 8 9 10 No. Defectives 8 5 18 9 18395 10 14 Sample No. 11 12 13 14 15 16 17 18 19 20 No. Defectives 7 4 a) Establish 30 upper and lower control limits. 54697496 15 10 11 19 16 Sample No. 21 222222NERS 23 24 25 26 27 28 29 30 No. Defectives 16 12 8726668 12 11 13 6, 12 UCLp = (enter your response as a number between 0 and 1; rounded to three decimal places).

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a. Determine the p, Sp, UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). (Leave no cells blank. Rour up any negative LCL value to "O". Round your answers to 3 decimal places.) р Sp UCL LCL b. What comments can you make about the process?