Five data entry operators work at the data processing department of the BirminghamBank. Each day for 30 days, the number of defective records in a sample of 250records typed by these operators has been noted, as follows:SampleNo.122345678910No.Defectives85189183951014SampleNo.11121314151617181920No.Defectives74a) Establish 30 upper and lower control limits.546974961510111916SampleNo.21222222NERS2324252627282930No.Defectives161287266681211136,12UCLp = (enter your response as a number between 0 and 1; rounded tothree decimal places).

Process control limits are an important and fundamental part of both quality control and statistical…

Answered: Five data entry operators work at the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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…
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).
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).
NanosElectron, Inc. manufactures 75,000 circuit boards per month. A random sample of 800 boards is inspected every week for three characteristics. During a recent week, four defects were found for one characteristic, two defects were found for another characteristic, and one defect was found for the third characteristic. If these inspections produced defect counts that were representative of the population, what is the overall sigma level for this process? What is the sigma level for the characteristic that showed four defects?
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.
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?
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 .
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…
Janice Sanders, CEO of Pine Crest Medical Clinic, is concerned over the number of times patients must wait more than 30 minutes beyond their scheduled appointments. She asked her assistant to take random samples of 64 patients to see how many in each sample had to wait more than 30 minutes. Each instance is considered a defect in the clinic process. The table below contains the data for 15 samples.Sample Number of Defects1 52 23 14 35 16 57 28 3 9 6 10 3 11 9 12 9 13 5 14 2 15…
1. Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 64, the 3-sigma x chart control limits are: Upper Control Limit (UCLx) = 14.0414.04 ounces (round your response to two decimal places). Lower Control Limit (LCLx) =?ounces (round your response to two decimal places). 2. The overall average on a process you are attempting to monitor is 55.0 units. The process population standard deviation is 1.84. Sample size is given to be 16. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCLx)=56.3856.38 units (round your response to two decimal places). Lower Control Limit (LCLx)=? units (round your response to two decimal places). 3. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd.…
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
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

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