quality management systems 4
Q1-A product has three quality characteristics. The nominal values of these quality characteristics and their sample covariance matrix have been determined from the analysis of 30 preliminary samples of size n=10 as follows:. The sample means for each quality characteristic for 15 additional samples of size n=10 are show below. Is the process in statistical control? Please provide details.
|
Sample # |
Xbar1 |
Xbar2 |
Xbar3 |
|
1 |
3.1 |
3.7 |
3 |
|
2 |
3.3 |
3.9 |
3.1 |
|
3 |
2.6 |
3 |
2.4 |
|
4 |
2.8 |
3 |
2.5 |
|
5 |
3 |
3.3 |
2.8 |
|
6 |
4 |
4.6 |
3.5 |
|
7 |
3.8 |
4.2 |
3 |
|
8 |
3 |
3.3 |
2.7 |
|
9 |
2.4 |
3 |
2.2 |
|
10 |
2 |
2.6 |
1.8 |
|
11 |
3.2 |
3.9 |
3 |
|
12 |
3.7 |
4 |
3 |
|
13 |
4.1 |
4.7 |
3.2 |
|
14 |
3.8 |
4 |
2.9 |
|
15 |
3.2 |
3.6 |
2.8 |
Answer:
Q2 – The below table presents chemical process data. Using Engineering Process Control Chart in Module14 (Course Note), find the reset points and Construct the Control Charts.
Answer:
Q3 (Benchmarking Question)-Perform benchmarking for Company X and provide remedy options (Methodology, Tools, Techniques) to improve Company X performance?
|
Key Process Area |
Industry Average |
Company X |
Difference |
Remedy options |
|
Employee development |
450 |
260 |
||
|
Materials |
31,000 |
30,000 |
||
|
Warehousing |
975 |
3,000 |
||
|
Material control |
180 |
3,500 |
||
|
Materials preparation |
85 |
550 |
||
|
Production control |
725 |
3,800 |
||
|
Assembly |
10,000 |
11,100 |
||
|
Integration & test |
3,060 |
2,050 |
||
|
Incoming inspection |
75 |
275 |
||
|
In-process inspection |
200 |
500 |
||
|
Supplier auditing |
1,250 |
150 |
||
|
Internal auditing |
2,800 |
200 |
Answer:
Q4 (Process Capability Question)-A process is in statistical control with x(double bar) = 39.7 and R(bar) = 2.5. The control chart uses a sample size of n = 2. Specifications are at 40 +/- 5. The quality characteristic is normally distributed. Estimate the potential capability of the process and explain your conclusion.
Answer:
Q5 –Explain the shortcomings of control ellipse in Multivariate Monitoring Chart?
Answer:
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