A tire manufacturer has been concerned about the number of defective tires found recently. In order...
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A tire manufacturer has been concerned about the number of defective tires found recently. In order to evaluate the true magnitude of the problem, a production manager selected 20 random samples of 50 units each for Inspection. The number of defective tires found in each sample are as follows: 1 5 Defective 0 7 1 1 Sample Defective Sample Defective 8 1 15 1 16 17 18 MGMT 3106: Management Science and Operations Management 3 10 11 0 2 12 13 14 2 3 19 20 Total= 0 25 a) Calculate the p-bar, standard deviation, upper and lower control limits. Show all calculations. (You may use Excel tools to verify your answers). b) Plot the p-chart. (You may use Excel tools to plot the charts.) c) Based on the p-chart, discuss whether the process in statistical control or not. A tire manufacturer has been concerned about the number of defective tires found recently. In order to evaluate the true magnitude of the problem, a production manager selected 20 random samples of 50 units each for Inspection. The number of defective tires found in each sample are as follows: 1 5 Defective 0 7 1 1 Sample Defective Sample Defective 8 1 15 1 16 17 18 MGMT 3106: Management Science and Operations Management 3 10 11 0 2 12 13 14 2 3 19 20 Total= 0 25 a) Calculate the p-bar, standard deviation, upper and lower control limits. Show all calculations. (You may use Excel tools to verify your answers). b) Plot the p-chart. (You may use Excel tools to plot the charts.) c) Based on the p-chart, discuss whether the process in statistical control or not.
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a to find the pbar standard deviation and upper and lower control limits we will need the following expression pbar number of total tires that are defectivenumber of total tires that were inspected 2520X50 0025 standard deviation b pchart Excel software is used to draw the line plot with the horizontal axes being the sample numbers and the vertical axes being the proportion of tires that are defective c Because some points on the pchart are above the higher control limit ... View the full answer
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