Rolls of coiled wire are monitored using a c-chart. Twenty rolls have been examined, and the number of defects per roll has beenrecorded in the following table. Using the set of 20 observations, perform run tests on the data. What can you conclude about thedata?Sample Number of Defects Sample Number of Defects1112345167390TestFirstSecond297445TASA681213141516.17181920Conclusion67575106

Answered: Rolls of colled wire are monitored…

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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A shirt manufacturer buys cloth by the 100-yard roll from a supplier. For setting up 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 Determine the c¯�¯ , Sc�� , UCL and LCL for a c-chart with z = 2. Note: Round your answers to 2 decimal places. Suppose the next five rolls from the supplier had three, two, five, three, and seven irregularities. Is the supplier process under control? multiple choice Yes No
A shirt manufacturer buys cloth by the 100-yard roll from a supplier. For setting up 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 IRREGULARITIED a. Determine the S UCL and LCL for a c-chart with z=2. (Leave no cells blank. Round up any negative LCL value to "0". Round your answers to 2 decimal places.) Answer is complete but not entirely correct. © bar Se UCL LCL 0000 Yes No 5.20 2.28 9.76 0.64 b. Suppose the next five rolls from the supplier had three, two, five, five, and five irregularities. Is the supplier process under control?
Five data entry operators work at the data process-ing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 250 records typedby these operators has been noted, as follows: a) Establish 3s upper and lower control limits.b) Why can the lower control limit not be a negative number? c) The industry standards for the upper and lower control lim-its are 0.10 and 0.01, respectively. What does this imply about Birmingham Bank’s own standards?
For 50 consecutive days, a process engineer has measured the weight of acomponent after it has been coated with a special paint. Each day, she takes a sampleof 10 components. The average across all 500 components (50 days, 10 componentsper day) is 45.343018 grams. The standard deviation across all parts is 0.0076382 gram.When constructing an X-bar chart, what would be the center line and what would be thelines for the upper and lower control limits?
6. The defect rate for your product has historically been about 4.50%. For a sample size of 500, the upper and lower 3-sigma control chart limits are: Part 2 UCLp = _______ (enter your response as a number between 0 and 1, rounded to four decimal places). The Standard deviation of defect rate of product is given __________. The Upper and Lower 3-sigma control charts limits are: UCLp ________ LCLp ________
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?
8 specimens were taken from a production line. Each specimen consists of 45 mechanical parts. After inspection, it was found that each specimen consists of some defective parts. Develop a P chart with a 3 sigma level. Specimen A BCDEFGH Defects: 56428 10 12 9
DESIGNING A CONTROL CHART EXAMPLE Fujiyama Electronics, Inc. has been having difficulties with circuit boards purchased from an outside supplier. Unacceptable variability occurs between two drilled holes that are supposed to be 5 cm apart on the circuit boards. Thirty samples of 4 boards each were taken from shipments from the supplier as shown in the data listed below. Construct x and R charts for the process using the following data. DATA Sample No Samples 1 4.92 4.26 4.94 4.29 2 4.65 5.54 5.00 5.42 3 5.77 5.26 4.76 4.79 4 6.25 4.88 5.66 4.44 5 5.27 5.41 6.02 4.91 6 5.22 5.38 5.08 4.65 7 5.47 4.68 4.56 4.70 8 5.71 4.54 4.17 4.87 9 5.24 5.58 4.72 5.41 10 4.42 5.18 4.79 4.73 11 5.14 4.26 4.71 5.48 12 4.92 5.78 5.50 5.05 13 5.79 3.83 4.30 4.78 14 4.92 4.80 4.75 5.59 15 5.68…
An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine? a. More than 0.5 but less than or equal to 1.0 b. More than 1.0 c. Less than or equal to 0.1 d. More than 0.1 but less than or equal to 0.5
Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer O
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
Suppose that a quality characteristic is normally distributed with specifications at 100 ± 20. The process standard deviation is 6.(a) Suppose that the process mean is 100. What are the natural tolerance limits? Calculate Cp and Cpk and interpret these ratios. What fraction of parts do you expect to be defective?(b) Suppose that the process mean is 106. What are the natural tolerance limits? What is thefraction defective? Calculate Cp and Cpk and interpret these ratios.

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