Homework Answers
X-bar-bar = Average of X-bar = (3+5+4+2)/4 = 3.5
R-bar = Average of R = (2+1+4+1)/4 = 2
Sample size (n) = 3
For n = 3, A2 = 1.023
UCL = X-bar-bar + A2*R-bar = 3.5 + 2*1.023 = 5.546
LCL = X-bar-bar – A2*R-bar = 3.5 – 2*1.023 = 1.454
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Examine the Statistical Process Control outputs below. If the sample size is 3, What are the...
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For randomly entered? data, results were obtained as shown?
below:
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for the? X-bar chart is equal to which of the? following?
A. none of these
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Unit6: OPTIMIZING AND CONTROLLING PROCESSES THROUGH STATISTICAL
PROCESS CONTROL
1. Define the concept of statistical process control SPC?
2. What is SPC key element?
3. Solving the following problem (Using x -charts and R
–charts)?
a. Using this data to solve the problem by using X bar chart and
R chart?
b. What is the difference between X bar chart and R chart?
c. Draw the control chart for both X bar chart and R chart?
d. Explain the result?...
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)
Consider Chapter? 3, Problem 4 that was a homework problem
dealing with the quality of Aspen Plastics bottle neck diameters.
For randomly entered? data, results were obtained as shown?
below:
For the data? shown, the calculation of the Lower Control Limit
for the? X-bar chart is equal to which of the? following?
A. none of these
B. =D9-D10*D16
C. =D9+D10*D16
D. = 0.729
PLEASE INDICATE CORRECT ANSWER ONLY!
Solver -R and X-Bar Charts 5 Enter data in yellow shaded areas...
8.8. A process is in statistical control with 199 and R-3.5. The control chart uses a sample size of n- 4. Specifications are at 200+8. The quality char- acteristic is normally distributed. (a) Estimate the potential capability of the process. (b) Estimate the actual process capability (c) How much improvement could be made in process performance if the mean could be cen- tered at the nominal value?
8.8. A process is in statistical control with 199 and R-3.5. The control...
all in one
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