The average proportion defective is known to be 1%. What should the upper and lower control limits of a p-chart be if n = 25 and z = 3.0?
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- In the past, the defective rate for your product hasbeen 1.5%. What are the upper and lower control chart limits ifyou wish to use a sample size of 500 and z = 3 ?Explain 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?Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440+40. After 25 samples of size n=10 are analyzed, we find that: 25 25 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the R chart? UCL=65.54 and LCL=2.56 UCL=74.97 and LCL=9.41 UCL=79.96 and LCL=10.03 UCL=95.96 and LCL=12.04 UCL=72.82 and LCL=2.85
- Factors for Computing Control Chart Limits (3 sigma) Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean x (mm) Range R (mm) 1 156.9 4.2 2 153.2 4.6 3 153.6 4.1 4 155.5 5.0 5 156.6 4.5 Part 4 c) What are the (UCLx) and (LCLx) using 3-sigma? (UCLx) = mm (round your response to two decimal places). (LCLx) = mmIn the past, the defective rate for your product hasbeen 1.5%. What arc the upper and lower control chart limits ifyou wish to use a sample size of 500 and = = 3?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
- An ?̅ control chart with 3-sigma control limits and subgroup size n = 4 hascontrol limits UCL = 48.75 and LCL = 40.55. Estimate the process standard deviation.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?If the fraction defective is 0.4 based on a sample size of 100, the standard deviation used in the p-chart is about 0.10. True or False?
- Based on the x-chart, the wire cutting process has been OUT OF CONTROL . Part 5 The control limits for the 3-sigma R-chart are (round all intermediate calculations to three decimal places before proceeding with further calculations): Part 6 Upper Control Limit (UCLR) = enter your response here inches (round your response to three decimal placesDevelop a p chart with 3 sigma control limits and evaluate whether the process is in statical controlOrganic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6