3.2. The Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the companyquality-control manager takes a sample of 100 tires, tests them, anddetermines the number of defective tires. The results of 20 sampleshave been recorded as follows:Number ofNumber ofSampleDefectivesSampleDefectives11411181212109.13191014201115177161878171881418229.161924101720233.4, Construct a p-chart for this process using 20 limits and describethe variation in the process.orer

A p-chart is an attributes control chart used with data organized in subgroups of differing sizes.…

Answered: Construct a p-chart for this process…

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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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 Road King Tire Company in Birmingham wants to monitor the quality of the tires it manufactures. Each day the company quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The results of 20 samples have been recorded as follows: Sample Number of Defectives Sample Number of Defectives 1 14 11 18 2 12 12 10 3 9 13 19 4 10 14 20 5 11 15 17 6 7 16 18 7 8 17 18 8 14 18 22 9 16 19 24 10 17 20 23 Construct a P -chart for this process using 2q limits and describe the variation in the process. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
We want to determine the AOQ for an acceptance samplingplan when the quality of the incoming lots in percent defectiveis 1.5%, and then again when the incoming percent defective is 5%.T he sample size is 80 units for a lot size of 550 units. Furthermore,Pa at 1.5% defective levels is 0.95. At 5% incoming defective levels,the Pa is found to be 0.5. Determine the average outgoing qualityfor both incoming percent defective levels.
In a sausage factory, quality managers are studying the compliance of the sausages with the requirements. Any sausage having pin holes, air pockets, deformation or breakage in its casings is counted as defective and total number of such defective sausages alone is noted in each shift. The following data represents the number of defective sausages in samples of 200 sausages taken from 10 shifts. Sample Defectives Percent Defective 1 40 20% 2 28 14% 3 15 8% 4 23 (a) 5 20 10% 6 21 11% 7 19 10% 8 15 8% 9 16 8% 10 17 9% Calculate the value for (a) in the table above. Calculate p-bar based on the samples above. What is the UCL and LCL for a p chart based on the data provided and a desired control level of 99.74%? Use your control limits from part b along with the data provided to draw a p-chart. Is the process in control? Why or why not? If not in control, suggest some potential reasons.
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.
A garment manufacturer wants to set up a control chart for irregularities. Each week a random sample of 25 garments is collected from production and the number of irregularities is recorded. The table below gives the results for the past 20 weeks: 1 6 8 10 Sample Number Irregularities 11 2 3 4 5 7 9 8 12 4 16 5 8 17 10 11 16 20 Sample Number | Irregularities 11 12 13 14 15 17 18 19 7 12 13 8 17 11 9 10 (a) Using the data set up an appropriate control chart using a three sigma control limits. (b) Comment on the process. [8 marks] [2 marks] 9,
A process filling small bottles with baby formula hasa target of 3 ounces ± 0.150 ounce. Two hundred bottles fromthe process were sampled. The results showed the averageamount of formula placed in the bottles to be 3.042 ounces. Thestandard deviation of the amounts was 0.034 ounce. Determinethe value of Cpk· Roughly what proportion of bottles meetthe specifications?
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
What is assignable cause of variation? How is it applied to statistical application of quality management and how can it be used in business?
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.
5. What are the main statistical tools used for quality control and quality improvement?
A process that produces computer chips has a mean of .04 defective chip and a standard deviationof .003 chip. The allowable variation is from .03 to .05 defective.a. Compute the capability index for the process.b. Is the process capable?

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Construct a p-chart for this process using 20 limits and describe ne variation in the process.