The results of inspection of DNA samples taken over the past ten days are given at left. Sample size is 100. a. Construct a 3-sigma p-chart using the information given. b. If the number of defectives on the next three days are 13, 5, and 3, is the process in control?
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- 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 OExplain how a person using 2-sigma control charts will more easily find samples “out of bounds” than 3-sigma control charts. What are some possible consequences of this fact?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: NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE SAMPLE 15 1 15 15 2 15 15 3 15 15 2 15 15 3. 10 15 a. Determine the Sp UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). (Leave no cells blank - be certain to enter "O" wherever required. Round your answers to 3 decimal places.) p bar Sp UCL LCL b. What comments can you make about the process? 234
- Breeze Toothpaste Company has been having a problemwith some of the tubes of toothpaste leaking. The tubes are packedin containers with 100 tubes each. Ten containers of toothpastehave been sampled. Th e following number of toothpaste tubeswere found to have leaks: Develop a p-chart with 3-sigma control limits and evaluatewhether the process is in statistical control.4: A production manager at a Contour Manufacturing plant has inspected the number of defective plastic molds in 5 random samples of 20 observations each. Following are the number of defective molds found in each sample: Sample N Number of observations Number of defections 1 1 20 2 2 20 3 2 20 4 1 20 5 0 20 a) Construct a 3-sigma control chart (P-chart) with this information.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 Table 1:Table 1. Sample n Number of Defective Items in the Sample 1 15 3 2 15 1 3 15 0 4 15 0 5 15 0 6 15 2 7 15 0 8 15 3 9 15 1 10 15 0 a. Develop a p-chart for 95 percent confidence (1.96 standard deviation).b. Based on the plotted data points, interpret the results.
- concernedas to whether caulking tubes are being properly capped. Ifa 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 144. Several boxes areinspected, and the following numbers of leaking tubes arefound: Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.For the following data, construct a fraction defective chart by using 3 sigma. Is the process under control? NO. OF DEFECTIVES GROUP SAMPLE SIZE 160 22 2 160 27 3 250 27 4 250 22 5 160 17 400 32 250 22 8 250 22 9. 160 22 10 16 17 11 400 37 12 400 27 3.C Chart Eleven samples of 20 parts each were taken from an ongoing process to establish a c-chart for control. The samples and the number of defectives in each are shown in the following table: Sample Number of defective items in the sample 1 2 4 8 3 7 8 4 9 2 10 11 9 36 Develop a c-chart for 3 sigma limits (Z=3) What samples are out of control? (enter the sample numbers separated by commas.for example 1,2,3. If all samples are under control, enter 0) FORMULAS c bar = ( number of defects) / (number of samples) UCL = c bar + Z [square root(c bar)] UCL = c bar - Z [square root(c bar) ]
- 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 controlTen 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 n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 3 2 15 1 3 15 0 4 15 0 5 15 0 6 15 2 7 15 0 8 15 3 9 15 1 10 15 0 Determine the p¯�¯ , Sp�� , UCL and LCL for a p-chart of 95 percent confidence (1.96 standard deviations). Note: Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places. What comments can you make about the process? multiple choice Process is in statistical control. Process is out of statistical control.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 Table 1: Table 1. Sample n Number of Defective Items in the Sample 1 15 3 2 15 1 3 15 0 4 15 0 5 15 0 6 15 2 7 15 0 8 15 3 9 15 1 10 15 0 Develop a p-chart for 95 percent confidence (1.96 standard deviation). Based on the plotted data points, interpret the results