Please do this problem manually.
The following fraction nonconforming control chart with n = 100 is used to control a process:
UCL = 0.0750
Center line = 0.0400
LCL = 0.0050
(a) Use the Poisson approximation to the binomial to find the probability of a type I error.
(b) Use the Poisson approximation to the binomial to find the probability of a type II error, if the true process fraction nonconforming is 0.0600.
(c) Draw the OC curve for this control chart.
(d) Find the ARL when the process is in control and the ARL when the process fraction nonconform-
ing is 0.0600.
Please do this problem manually. The following fraction nonconforming control chart with n = 100 is...
2- A process is controlled with a fraction nonconforming control chart with 3-sigma limits, n-100, UCL=0.161, CL:0.08, and LCL=0·Find the equivalent control chart for the number nonconforming.
Product filling weights are normally distributed with a mean of 365 grams and a standard deviation of 19 grams. a. Compute the chart upper control limit and lower control limit for this process if samples of size 10, 20 and 30 are used (to 2 decimals). Use Table 19.3. For samples of size 10 UCL =| LCL For a sample size of 20 UCL = LCL For a sample size of 30 UCL = LCL = b. What happens to...
Design X-bar and R charts a control chart with "standards given" as an aimed-at mean of Xo = 4.0, Sigma = .0033, and Subgroup size = 5. It is not necessary to sketch the control-chart since we have no points to put on it. Just specify, CL, UCL and LCL. That is the design. Then find the probability of in-control nonconformance given, USL = 4.00995 and LSL = 3.99005 Also, by theory, what is the Probability of an out-of-control point...
1. Design X-bar and R charts a control chart with "standards given" as an aimed-at mean of Xo 4.0, Sigma 0033, and Subgroup size 5. It is not necessary to sketch the control-chart since we have no points to put on it. Just specify, CL, UCL and LCL. That is the design. 2. Then find the probability of in-control nonconformance given, USL 4.00995 and LSL = 3.99005 3. Also, by theory, what is the Probability of an out-of-control point when...
1. Design X-bar and R charts a control chart with "standards given" as an aimed-at mean of Xo = 4.0, Sigma = .0033, and Subgroup size -5. It is not necessary to sketch the control-chart since we have no points to put on it. Just specify, CL, UCL and LCL. That is the design. 2. Then find the probability of in-control nonconformance given, USL = 4.00995 and LSL 3.99005 3. Also, by theory, what is the Probability of an out-of-control...
1. Design X-bar and R charts a control chart with "standards given" as an aimed-at mean of Xo = 4.0, Sigma = .0033, and Subgroup size -5. It is not necessary to sketch the control-chart since we have no points to put on it. Just specify, CL, UCL and LCL. That is the design. 2. Then find the probability of in-control nonconformance given, USL = 4.00995 and LSL 3.99005 3. Also, by theory, what is the Probability of an out-of-control...
2. A process has a X-bar control chart with UCL=17.4, LCL=12.79 using a 3- sigma limit. The subgroup sample size is 3. (a) Estimate the standard deviation of the process, sigma hat. (6 pts) (b) Suppose that the process mean shifts to 13. Find the probability that this shift will be detected on the next sample. (8 pts) (c) Calculate the average run length (ARL) before detecting the shift. (6 pts)
I will rate 2. A process has a X-bar control chart with UCL-17.4. LCL-12.79 using a 3-sigma limit. The subgroup sample size is 3. (a) Estimate the standard deviation of the process, sigma hat. (6 pts) (b) Suppose that the process mean shifts to 13. Find the probability that this shift will be detected on the next sample. (8 pts) (c) Calculate the average run length (ARL) before detecting the shift. (6 pts)
2. (20 points) A controlled through the use of a fraction nonconforming chart. Initially, one sample of size taken each day for 10 days, and the results shown in following table are observed. (a) Establish a control chart to monitor future production. (b) Apply Western Electric Rules to these charts. Is the process in statistical control? process that produces titanium forgings for automobile turbocharger wheels is to be 200 i Day Nonconforming Units 14 15 6 7 8 14 5...
Problems 3-5 (1pt each) a toy factory and need a 3-sigma X control chart to monitor the amount of red dye irn dye follows a normal distribution. When the -6.3. They their red paint used on their fire trucks. The amount of red process is in control, the mean and standard deviation amount of red dye are μ have the following data: 36 and σ Sample Mean Sample Dye Measurements 32, 38, 35 34, 39, 31 Time Period 25,24,19 3....