d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.) UCL LCL e. What comments can you make about the process? O The process is out of statistical control. O The process is in statistical control.
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I need help with part d and e. thank you.
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- 63. X control charts are used to maintain control of the manufacture of the cases used to house a generic brand of personal computer. Separate charts are maintained for length, width, and height. The length chart has UCL = 20.5 inches, LCL = 19.5 inches, and a target value of 20 inches. This chart is based on using subgroups of size 4 and three- sigma limits. However, the customer's specifications require that the target length should be 19.75 inches with a tolerance of ±0.75 inch. What percentage of the cases shipped will fall outside the customer's specifications?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) = mm1. An ad agency tracks the complaints, by week received, about the billboards in its city: Week No. of Complaints 1 8 2 4 3 11 4 16 5 8 6 9 This exercise contains only parts a, b, and c. a) The type of control chart that is best to monitor this process is c minus chartc−chart . b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc =?complaints per week (round your response to two decimal places). LCLc =?complaints per week (round your response to two decimal places).
- Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. 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: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 NextAn e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control LimitUsing samples of 197 credit card statements, an auditor found the following: Sample 1 3 errors Sample 2 3 errors Sample 3 5 errors Sample 4 9 errors 1. what alpha risk would control limits of .0470 and .0038 provide? 2. Using control limits of .0470 and .0038, is the process in control? 3. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control?
- 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 36 samples of size n=7 are analyzed, we find that: 36 36 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the X-bar chart? UCL=442.86 and LCL=415.14 UCL=531.43 and LCL=498.17 UCL=415.18 and LCL=389.19 UCL=373.21 and LCL=341.79 UCL=335.89 and LCL=307.61Auto 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: a) What is the value of x? = x= 156.76 mm (round your response to two decimal places). b) What is the value of R? R= mm (round your response to two decimal places). Day 1 2 3 4 5 Mean x (mm) 158.9 155.2 155.6 157.5 156.6 Range R (mm) 4.2 4.4 4.3 4.8 4.37. An ad agency tracks the complaints, by week received, about the billboards in its city: Week No. of Complaints 1 3 2 6 3 4 4 12 5 2 6 9 This exercise contains only parts a, b, and c. Part 2 a) The type of control chart that is best to monitor this process is c minus chart ______ . Part 3 b) Using z = 3, the control chart limits for this process are (assume that the historical complaints rate is unknown): UCLc = ________ complaints per week (round your response to two decimal places). The upper control limit is: ________ The lower control limit is: _________ The central limit is ___________
- An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and standard deviation of .01 liter. Output is monitored using means of samples of 25 observations. Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.The overall average of a process you are attemptingto monitor at Gihan Edirisinghe Motors is 75 units. The processstandard deviation is 1.95, and the sample size is 11 = 10. Whatwould be the upper and lower control limits for a 3-sigma controlchart?Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) Ross Hopkins is attempting to monitor a filling process that has an overall average of 705 ml. The average range is 8 ml.For a sample size of 10, the control limits for 3-sigma chart are:Upper Control Limit () = select: (round your response to three decimal places).Lower Control Limit () = enter your response here (round your response to three decimal places).The control limits for the 3-sigma R-chart are:Upper Control Limit () = enter your response here (round your response to three decimal places).Lower Control Limit () = enter your response here (round your response to three decimal places).