MCQOPTIONS
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MCQOPTIONS
This section includes 21 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. |
“\(\widehat{σ_3} = 1.047\overline{MR}\); where \(\overline{MR}\) is the median of the span-two moving ranges.” |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
The estimation of the process standard deviation for any individuals control chart is expressed as ____ in the terms of sample standard deviation. |
| A. | \(\widehat{σ_2}=\frac{s}{c_4}\) |
| B. | \(\widehat{σ_2}=\frac{s}{c_1}\) |
| C. | \(\widehat{σ_2}=\frac{s}{c_2}\) |
| D. | \(\widehat{σ_2}=\frac{s}{c_3}\) |
| Answer» B. \(\widehat{σ_2}=\frac{s}{c_1}\) | |
| 3. |
The estimator of the process standard deviation for any individuals control chart is written as? |
| A. | \(\frac{\overline{MR}}{2}\) |
| B. | \(\overline{MR}/0.8865\) |
| C. | \(\overline{MR}/1.128\) |
| D. | \(1.128\overline{MR}\) |
| Answer» D. \(1.128\overline{MR}\) | |
| 4. |
What is the correct expression for average moving range for any individuals control chart? |
| A. | \(\overline{MR} = \sum_{i=2}^m \frac{MR_i}{m-1}\) |
| B. | \(\overline{MR} = \sum_{i=1}^m \frac{MR_i}{m}\) |
| C. | \(\overline{MR} = \sum_{i=2}^{m-1} \frac{MR_i}{m-1}\) |
| D. | \(\overline{MR} = \sum_{i=1}^m \frac{MR_i}{m-1}\) |
| Answer» B. \(\overline{MR} = \sum_{i=1}^m \frac{MR_i}{m}\) | |
| 5. |
Which of this stands correct for the relation between the ARL for a shewhart control chart and the individual control chart ARL? |
| A. | ARLindividual control chart=1/ ARLshewhart control chart |
| B. | ARLindividual control chart= ARLshewhart control chart |
| C. | ARLindividual control chart≪ARLshewhart control chart |
| D. | ARLindividual control chart≫ ARLshewhart control chart |
| Answer» D. ARLindividual control chart≫ ARLshewhart control chart | |
| 6. |
The ARL for any individuals control chart with the 1 sigma limits, and the β=0.972, is ____ |
| A. | 2 |
| B. | 6.3 |
| C. | 43.96 |
| D. | 13 |
| Answer» D. 13 | |
| 7. |
The value of ARL for any x bar control chart having 3-σ limits is __________ |
| A. | 482 |
| B. | 310 |
| C. | 370 |
| D. | 270 |
| Answer» D. 270 | |
| 8. |
The center line for any individuals control chart represents the value equal to __________ |
| A. | The process mean |
| B. | The moving range |
| C. | The mean of moving ranges |
| D. | The process standard deviation |
| Answer» B. The moving range | |
| 9. |
What is the correct expression for the UCL for an Individuals Control Chart? |
| A. | UCL=\(\bar{x}+\frac{3\overline{MR}}{d_2}\) |
| B. | UCL=\(\bar{x}+\frac{2\overline{MR}}{d_2}\) |
| C. | UCL=\(\bar{x}+\frac{3\overline{MR}}{d_3}\) |
| D. | UCL=\(\bar{x}+\frac{\overline{MR}}{d_2}\) |
| Answer» B. UCL=\(\bar{x}+\frac{2\overline{MR}}{d_2}\) | |
| 10. |
In the case of automatic manufacturing, the sample size is ___________ |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | Greater than 5 |
| Answer» B. 2 | |
| 11. |
The Shewhart control charts for sample size n=1 are called _________ |
| A. | Single Sample control charts |
| B. | Stationary control charts |
| C. | Control charts for zero variance |
| D. | Control charts for individual measurements |
| Answer» E. | |
| 12. |
THE_ARL_FOR_ANY_INDIVIDUALS_CONTROL_CHART_WITH_THE_1_SIGMA_LIMITS,_AND_THE_‚ÂÀ√≠‚ÄÖ√¢¬ß=0.972,_IS_____?$# |
| A. | 2 |
| B. | 6.3 |
| C. | 43.96 |
| D. | 13 |
| Answer» D. 13 | |
| 13. |
Which_of_this_stands_correct_for_the_relation_between_the_ARL_for_a_shewhart_control_chart_and_the_individual_control_chart_ARL?$ |
| A. | ARL<sub>individual control chart</sub>=1/ ARL<sub>shewhart control chart</sub> |
| B. | ARL<sub>individual control chart</sub>= ARL<sub>shewhart control chart</sub> |
| C. | ARL<sub>individual control chart</sub>≪ARL<sub>shewhart control chart</sub> |
| D. | ARL<sub>individual control chart</sub>‚â´ ARL<sub>shewhart control chart</sub> |
| Answer» D. ARL<sub>individual control chart</sub>‚Äö√Ñ√∂‚àö¬¢¬¨¬• ARL<sub>shewhart control chart</sub> | |
| 14. |
Moving range can only be calculated by the two successive observations. |
| A. | True |
| B. | False |
| Answer» C. | |
| 15. |
The average number of points that must be plotted before an out-of-control point is plotted on an Individuals control chart? |
| A. | ARL |
| B. | ATS |
| C. | MTBF |
| D. | Hazard rate |
| Answer» B. ATS | |
| 16. |
The value of ARL for any x bar control chart having 3-σ limits is _____$ |
| A. | 482 |
| B. | 310 |
| C. | 370 |
| D. | 270 |
| Answer» D. 270 | |
| 17. |
The center line for any individuals control chart represents the value equal to _____ |
| A. | The process mean |
| B. | The moving range |
| C. | The mean of moving ranges |
| D. | The process standard deviation |
| Answer» B. The moving range | |
| 18. |
MR (Moving Range) is defined as |
| A. | The difference of highest observation and the lowest observation |
| B. | The difference between any two successive observations |
| C. | The difference between the highest observation and mean of observations |
| D. | The difference between the lowest observation and mean of the observations |
| Answer» C. The difference between the highest observation and mean of observations | |
| 19. |
In the case of individuals control charts, which of these is used? |
| A. | Relative range |
| B. | Process standard deviation |
| C. | Mean of the highest observations |
| D. | Moving range |
| Answer» E. | |
| 20. |
In the case of automatic manufacturing, the sample size is ______ |
| A. | 1 |
| B. | 2 |
| C. | 4 |
| D. | Greater than 5 |
| Answer» B. 2 | |
| 21. |
The Shewhart control charts for sample size n=1 are called ____ |
| A. | Single Sample control charts |
| B. | Stationary control charts |
| C. | Control charts for zero variance |
| D. | Control charts for individual measurements |
| Answer» E. | |