how is n- 1/2 when n=6, meaning 6 - 1/2
= 5/2?
6-1/2 should be equal to 11/2.
simple math xD.
Control charts for bar x chart and S have been maintained on a process and have...
Need help doing 28.3 and 28.4! 28. Consider the following table: Part Test 1 Test 2 Test 3 X-bar 1 383.75 373.75 446.25 401.25 72.5 125 2 406.25 531.25 3 368.75 5 457.5 270 398.75 345.8333 128.75 401.5278 108.75 Averages 28.1 Set up the control limits for an X-bar and R Chart for the table above. 28.2 If the specifications are set at 435 t 45, and the process output is normally distributed, estimate the fraction nonconforming. 28.3 If the...
Part Test 1 Test 2 Test 3 X-bar R 1 383.75 373.75 446.25 401.25 72.5 2 406.25 531.25 435 457.5 125 3 368.75 270 398.75 345.8333 128.75 Averages 401.5278 108.75 1. If the specifications are set at 435 ± 45, and the process output is normally distributed, estimate the fraction nonconforming. 2. If the process mean shifts to 415 and the standard deviation simultaneously shifts to 10. Find the probability of detecting this shift on the X-bar chart on the...
04)- 244+3-15 marás) Control charts for X and R are mairnt S marks) Contr ol charts for X and R are maintained for quality characteristic. The and R are computed for each sample. After 30 samples, the following a computed: 6690 R-1030 a- What are the tria Ilimits for the R chart ? tb) Assuming that the R chart is in control, what are the trial limits for the X char? Estimate the process mean and standard devintion. (d- Ifthe...
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. 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)
Problem 6 [Pencil version] X-bar and R charts with n= 4 were established with the centerlines of 10 and 2, respectively. Both charts didn't show any out-of-control signals. In other words, both process mean and variability were in statistical control. You just noticed an hour ago, however, that the process mean shifted to 14 and the process mean ended up being in out of control, while the process variability remains the same. In summary, Mo = 10, Mshifted = 14,...
Wakanda Process Manufacturing Samples of n =5 units are taken from a process every hour. The x̄ and R̄ values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate x̄ = 20 and R̄ = 4.56. (a) What are the three- sigma control limit for x̄ and R? (b) Both charts exhibit control. Estimate the process standard deviation. (c) Assume that the process output is normally distributed. If the specifications are 19 ± 5,...
Problem no.3 The thickness of a metal part is the quality characteristic that statistical process control is being applied to. Measurements are taken from 25 subgroups of subgroup size 5. The sum of the X-bar values 1.5735. The sum of the R-values .0231. Xbar/R Chart for x 0636 06396 Subgroup 10 15 20 25 001 0011 a.) Calculate the trial control limits and centerlines for the X-bar and R charts above b.) Calculate the revised control limits and centerlines for...
Samples of n5 units are taken from a process every hour. The and R values for a particular quality char acteristic are determined. After 25 samples have been collected, we calculate 20 and R 4.56 (a) What are the three-sigma control limits for x and R? (b) Both charts exhibit control. Estimate the process standard deviation (c) Assume that the process output is normally dis- tributed. If the specifications are 19 t 5, what are your conclusions regarding the process...
Samples of n5 units are taken from a process every hour. The and R values for a particular quality char acteristic are determined. After 25 samples have been collected, we calculate 20 and R 4.56 (a) What are the three-sigma control limits for x and R? (b) Both charts exhibit control. Estimate the process standard deviation (c) Assume that the process output is normally dis- tributed. If the specifications are 19 t 5, what are your conclusions regarding the process...