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This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If the number of times a particular stream gives the maximum value of average or range for the GCC, increases, the value of one sided in-control ARL for that event will increase. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
Runs tests can be applied on the GCC. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
If there are 6 streams of a MSP, and one of the streams has given 4 consecutive times the largest value, what will be the value of the one sided in-control ARL for this event? |
| A. | 200 |
| B. | 400 |
| C. | 259 |
| D. | 421 |
| Answer» D. 421 | |
| 4. |
What is the value of the one sided in-control ARL for the GCC? |
| A. | \(ARL(1)_0=\frac{s^r}{s-1}\) |
| B. | \(ARL(1)_0=\frac{s^r-1}{s-1}\) |
| C. | \(ARL(1)_0=\frac{s^{2r}-1}{s+1}\) |
| D. | \(ARL(1)_0=\frac{s^r+1}{s+1}\) |
| Answer» C. \(ARL(1)_0=\frac{s^{2r}-1}{s+1}\) | |
| 5. |
A MSP is out of control if a point on the GCC exceeds __________ |
| A. | 3-sigma limit |
| B. | 2-sigma limit |
| C. | 1.5-sigma limit |
| D. | 1-sigma limit |
| Answer» B. 2-sigma limit | |
| 6. |
Each plotted point on the GCC is identified by __________ |
| A. | The mean value of the stream |
| B. | The stream that produced it |
| C. | The standard deviation of the stream |
| D. | The variance of the stream |
| Answer» C. The standard deviation of the stream | |
| 7. |
___________ range will be plotted on the R chart of the GCC. |
| A. | Maximum |
| B. | Minimum |
| C. | Both the maximum and the minimum |
| D. | Neither the maximum nor the minimum |
| Answer» B. Minimum | |
| 8. |
In GCC we plot ___________ means observed at any time period. |
| A. | Only the maximum |
| B. | Only the minimum |
| C. | Mean of the |
| D. | Both, the maximum and the minimum |
| Answer» E. | |
| 9. |
When the subgroup size is 4 for any process samples, what will be the value of the R chart LCL of the GCC? |
| A. | 5 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» D. 2 | |
| 10. |
What will be the value of the LCL of the x chart of the GCC when the value of x =12, and the value of R̅= 0.1 and sample size = 4? |
| A. | 12.0729 |
| B. | 12.9271 |
| C. | 11.9271 |
| D. | 11.0729 |
| Answer» B. 12.9271 | |
| 11. |
If the sample size is 4, what will be the value of the upper control limit of the GCC R chart? |
| A. | UCL=2.672R̅ |
| B. | UCL=2.282R̅ |
| C. | UCL=2.114R̅ |
| D. | UCL=2.574R̅ |
| Answer» C. UCL=2.114R̅ | |
| 12. |
What is the ratio of the UCL to LCL of the same GCC R chart? |
| A. | UCL/LCL=D2/D3 |
| B. | UCL/LCL=D3/D4 |
| C. | UCL/LCL=D4/D3 |
| D. | UCL/LCL=D4/D2 |
| Answer» D. UCL/LCL=D4/D2 | |
| 13. |
What is the value of the UCL of the R chart constructed for the GCC? |
| A. | UCL = D4 R |
| B. | UCL = D3 R |
| C. | UCL = R ̅+ D3 R |
| D. | UCL = R ̅+ D4 R |
| Answer» B. UCL = D3 R | |
| 14. |
What is the value of the difference between the UCL and the LCL of x̅ chart of the GCC? |
| A. | 1 |
| B. | 0 |
| C. | 3A2 R |
| D. | 2A2 R |
| Answer» E. | |
| 15. |
The upper control limits for the GCC will be ____________ for the x̅ chart. |
| A. | UCL=\(\bar{\bar{x}}+A_2 \overline{R}\) |
| B. | UCL=\(\bar{\bar{x}}-A_2 R\) |
| C. | UCL=\(\bar{\bar{x}}-A_2 \overline{R}\) |
| D. | UCL=\(\bar{\bar{x}}+A_2 R\) |
| Answer» B. UCL=\(\bar{\bar{x}}-A_2 R\) | |