Part Test 1 Test 2 Test 3 X-bar R 1 383.75 373.75 446.25 401.25 72.5 ...
|
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 first subsequent sample.
3. For the shift in 2, find the average run length to detect the shift.
Homework Answers
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Part Test 1 Test 2 Test 3 X-bar R 1 383.75 373.75 446.25 401.25 72.5 ...
28. Consider the following table: Part Test 1 Test 2 Test 3 X-bar 1 383.75 373.75 446.25 401.25 7...
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...
Control charts for bar x chart and S have been maintained on a process and have...
Control charts for bar x chart and S have been maintained on a process and have exhibited statistical control. The sample size is n=6. The control chart parameters are as follows: Estimate the mean and standard deviation of the process. Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of...
1) If X is an quality variable of a process and X ~ N(µ, σ2 ). a) Design x-bar chart (3-sigma She...
1) If X is an quality variable of a process and X ~ N(µ, σ2 ). a) Design x-bar chart (3-sigma Shewhart chart): CL and UCL/LCL. b) If the product specifications are USL and LSL, show the product nonconforming fraction of the process. Assume all process parameters are given
2. A process has a X-bar control chart with UCL=17.4, LCL=12.79 using a 3- sigma limit....
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...
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)
Problem 6 [Pencil version] X-bar and R charts with n= 4 were established with the centerlines...
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,...
I will rate 1. For constructing a X-bar chart, subgroup sample average (x bar) and range(r)...
I
will rate
1. For constructing a X-bar chart, subgroup sample average (x bar) and range(r) are computed for each of 24 preliminary samples using a sample size n=5. 24 24 We have the following data summary: Ex-816 and r - 113 Il El (a) Find the following for X-bar chart:(6 pts) Upper control limit, Center line, and Lower controllimit (b) Find the following for R chart: (6 pts) Upper controllimit, Center line, and Lower controllimit: (c) Calculate the fraction...
1. For constructing a X-bar chart, subgroup sample average (x bar) and range (r) are computed...
1. For constructing a X-bar chart, subgroup sample average (x bar) and range (r) are computed for each of 24 preliminary samples using a sample size n=5. We have the following data summary: 24 24 Ex;=816 and Er;= 113 i = 1 i = 1 (a) Find the following for X-bar chart: 06 pts) Upper control limit, Center line, and Lower control limit (b) Find the following for R chart: (6 pts) Upper control limit, Center line, and Lower control...
Statics help needed urgently ! part 1 part 2 Design X-bar and R charts a control...
Statics help needed urgently !
part 1
part 2
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...
1. Design X-bar and R charts a control chart with "standards given" as an aimed-at mean...
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...
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...
Control charts for bar x chart and S have been maintained on a process and have exhibited statistical control. The sample size is n=6. The control chart parameters are as follows: Estimate the mean and standard deviation of the process. Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of...
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)
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,...
I
will rate
1. For constructing a X-bar chart, subgroup sample average (x bar) and range(r) are computed for each of 24 preliminary samples using a sample size n=5. 24 24 We have the following data summary: Ex-816 and r - 113 Il El (a) Find the following for X-bar chart:(6 pts) Upper control limit, Center line, and Lower controllimit (b) Find the following for R chart: (6 pts) Upper controllimit, Center line, and Lower controllimit: (c) Calculate the fraction...
1. For constructing a X-bar chart, subgroup sample average (x bar) and range (r) are computed for each of 24 preliminary samples using a sample size n=5. We have the following data summary: 24 24 Ex;=816 and Er;= 113 i = 1 i = 1 (a) Find the following for X-bar chart: 06 pts) Upper control limit, Center line, and Lower control limit (b) Find the following for R chart: (6 pts) Upper control limit, Center line, and Lower control...
Statics help needed urgently !
part 1
part 2
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...
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...
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