Y5 ...S6.11 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:SAMPLE123456789101112SAMPLE MEAN (in.)10.00210.0029.99110.0069.9979.99910.00110.0059.99510.00110.00110.006RANGE (in.)0.0110.0140.0070.0220.0130.0120.0080.0130.0040.0110.0140.009a) 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? Px

Answered: ...S6.11 Twelve samples, each…

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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1. 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 350 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 8 11 7 21 16 2 5 12 5 22 11 3 19 13 15 23 6 4 10 14 3 24 6 5 10 15 12 25 13 6 7 16 7 26 11 7 11 17 12 27 15 8 9 18 3 28 6 9 7 19 18 29 12 10 12 20 16 30 4 a) Establish 3σ upper and lower control limits. UCLp = . 055.055 (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).
A. 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 350 records typed by these operators has been noted, as follows: Sample No. No. Defectives Sample No. No. Defectives Sample No. No. Defectives 1 8 11 7 21 16 2 5 12 5 22 11 3 19 13 15 23 6 4 10 14 3 24 6 5 10 15 12 25 13 6 7 16 7 26 11 7 11 17 12 27 15 8 9 18 3 28 6 9 7 19 18 29 12 10 12 20 16 30 4 a) Establish 3σ upper and lower control limits. UCLp = nothing (enter your response as a number between 0 and 1, rounded to three decimal places). B. Peter Ittig's department store, Ittig Brothers, is Amherst's largest independent…
Twelve samples, each containing five parts, were taken from a process that produces steel rods. The length of each rod is the sample was determined. The results were tabulated and sample means and ranges were computed. Sample Sample Mean (in.) Range (in.) 1 10.001 0.011 2 10.003 0.014 3 9.995 0.007 4 10.007 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.006 0.014 9 9.994 0.005 10 10.002 0.010 11 10.002 0.013 12 10.005 0.009 Determine the upper and lower control limits and the overall means for -chart and R-chart. Chart the charts and plot the values of the sample means and ranges. 3. Does the data indicate a process that is in control? Why or why not?
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 11.404 0.044 7 11.403 0.021 2 11.400 0.051 8 11.407 0.058 3 11.389 0.042 9 11.397 0.039 4 11.406 0.037 10 11.403 0.038 5 11.395 0.048 11 11.401 0.054 6 11.397 0.053 12 11.406 0.061 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places). The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before…
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).
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 9.402 0.033 7 9.401 0.041 2 9.404 0.041 8 9.407 0.034 3 9.391 0.034 9 9.393 0.027 4 9.406 0.051 10 9.401 0.029 5 9.397 0.031 11 9.403 0.039 6 9.399 0.036 12 9.404 0.047 Part 2 For the given data, the x = enter your response here inches (round your response to four decimal places).
58. A maker of personal computers, Noname, purchases 64K DRAM chips from two dif- ferent manufacturers, A and B. Noname uses the following sampling plan: A sample of 10 percent of the chips is drawn and the lot is rejected if two or more defective chips are discovered. The two manufacturers supply the chips in lots of 100 and 1,000, respectively. a. For each manufacturer, determine the true proportion of defectives in the lot that would result in 90 percent of the lots being accepted. You may use the Poisson ap- proximation for your calculations. b. Would you say that this plan is fair? 59. Graph the AOQ curves for manufacturers A and B mentioned in Problem 58. Estimate the values of the AOQL in each case.
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 0.26
The time needed for checking in at a hotel is to be investigated. Historically, the process has had astandard deviation equal to .146. The means of 39 samples of n = 14 areSample Mean Sample Mean Sample Mean Sample Mean1 3.86 11 3.88 21 3.84 31 3.882 3.90 12 3.86 22 3.82 32 3.763 3.83 13 3.88 23 3.89 33 3.834 3.81 14 3.81 24 3.86 34 3.775 3.84 15 3.83 25 3.88 35 3.866 3.83 16 3.86 26 3.90 36 3.807 3.87 17 3.82 27 3.81 37 3.848 3.88 18 3.86 28 3.86 38 3.799 3.84 19 3.84 29 3.98 39 3.8510 3.80 20 3.87 30 3.96a. Construct an x¯ -chart for this process with three-sigma limits. Is the process in control?b. Analyze the data using a median run test and an up/down run test. What can you conclude?
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 13.502 0.033 7 13.501 0.041 2 13.500 0.041 8 13.507 0.034 3 13.489 0.034 9 13.493 0.027 4 13.508 0.051 10 13.501 0.029 5 13.497 0.031 11 13.501 0.039 6 13.499 0.036 12 13.506 0.047 For the given data, the x = nothing 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 (UCLx) = nothing inches (round your response…
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…
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 9.602 0.033 7 9.603 0.041 2 9.602 0.041 8 9.605 0.034 3 9.593 0.034 9 9.597 0.027 4 9.606 0.051 10 9.601 0.029 5 9.599 0.031 11 9.603 0.039 6 9.599 0.036 12 9.606 0.047 Part 2 For the given data, the x double overbarx = (inches (round your response to four decimal places)

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