14. A manufacturer of photographic film produces an average of 12,000 rolls of vari-ous types of film each day. An inspector samples 25 from each day's productionand tests them for accuracy of color reproduction and overall film quality. During12.3 Control Charts for Attributes: The p Chart 68723 consecutive production days, the inspector rejected the following numbers ofrolls of film:DayNumber RejectedDay Number Rejected1213123314115164131741823771982021221122101123112a. Based on these observations, compute three-sigma limits for a p chart.b. Do any of the points fall outside the control limits? If so, recompute thethree-sigma limits after eliminating the out-of-control points.mm

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Answered: 14. A manufacturer of photographic film…

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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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 excel
Using 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?
An inspector counted the number of defective monthly billing statements of a telephonecompany in each of 20 samples. Using the following information, construct a control chartthat will describe 99.74 percent of the chance variation in the process when the process is incontrol. Each sample contained 100 statements.Sample Number ofDefectivesSample Number ofDefectivesSample Number ofDefectivesSample Number ofDefectives1 7 6 11 11 8 16 102 10 7 10 12 12 17 83 12 8 18 13 9 18 124 4 9 13 14 10 19 105 9 10 10 15 16 20 21220
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…
The output of a certain integrated-circuit productionline is checked daily by inspecting a sample of 100 units.Over a long period of time, the process has maintaineda yield of 80 percent, that is, a proportion defective of 20 percent, and the variation of the proportion defec-tive from day to day is measured by a standard devi-ation of 0.04. If on a certain day the sample contains 38 defectives, find the mean of the posterior distribu-tion of as an estimate of that day’s proportion defec-tive. Assume that the prior distribution of Θ is a beta distribution.
A small electronic device is designed to emit a timing signal of 200.0 milliseconds (ms) duration. This device is specified as 201.0 + 10.0. In the production of this device, subgroups of six units are taken at periodic intervals and tested. Xbar and R are calculated for each subgroup and used to plot control charts. The results of inspection of 25 subgroups, ΣX = 5,000.00 and ΣR = 277.00. Determine the control limits for Xbarand R charts, and estimate the value of σ.
The measurement of 85 automotive cables gave an arithmetic mean of the inner diameters of 3.51 mm and a standard deviation of 0.02 mm.The value required by the manufacturer is 3.5 upper/lower tolerance +0.04/ -0.12It is requested : a. Calculate the capability coefficients Cp, Cpk and state whether or not the machine is capable of producing compliant parts, i.e. whether or not the data dispersion is well centred. If applicable, calculate the adjustment coefficient Cr.b. If scrap is obtained, state whether it is recoverable or non-recoverable and calculate the percentage of scrap.c. Plot the limits of the tolerance field and the distribution of the measured data (using mean and standard deviation).
A shirt manufacturer buys clothes by the 100-yard roll from a supplier. For setting a control chart to manage the irregularities (e.g., loose threads and tears), the following data were collected from a sample provided by the supplier. Sample 1 2 3 4 5 6 7 8 9 10 Irregularities 3 5 2 6 5 4 6 3 4 5 Which type of control chart should be used? Construct a control chart with two-sigma control limits. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? Explain and show work
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?
A professor records the number of students who complain each week throughout the semester. If the class size is forty students, what are 3 - sigma control limits for this class? Construct a control chart and interpret the data. Week Complaints Number 1. 5 2. 2 3. 7 4. 1 5. 3 6. 2 7. 8 8. 1 9. 3 10. 5 11. 4 12. 6 13. 3 14. 1 15. 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?
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. The results were: Overall mean = 57.75 lb.; Average range R = 1.54 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Part 2 Upper Control Limit (UCLx) = _______ lb. (round your response to three decimal places). Lower Control Limit (LCLx) = _______ lb. (round your response to three decimal places). B. the control limits for 3-sigma r chart are: Upper Control Limit (UCLr)= _______ lb. (round your response to three decimal places). Lower Control Limit(LCLr)= _______ lb. (round your response to three decimal places).

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