 
			 
			MCQOPTIONS
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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. | P=1- M. | 
| A. | True | 
| B. | False | 
| Answer» B. False | |
| 2. | The general rule, that is used to define a measurement system adequate by using P/T ratio equal to or less than 0.1, can be used without caution. | 
| A. | True | 
| B. | False | 
| Answer» C. | |
| 3. | The gauge capability ratio M is expressed as ____________ | 
| A. | ( _p= frac{ sigma_p^2}{2 _{Gauge}^2} ) | 
| B. | ( _p= frac{ sigma_{gauge}^2}{ _{Total}^2} ) | 
| C. | ( _p= frac{ sigma_P^2}{ _{Gauge}^2} ) | 
| D. | ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} ) | 
| Answer» C. ( _p= frac{ sigma_P^2}{ _{Gauge}^2} ) | |
| 4. | Which of these show a correct expression for the p? | 
| A. | ( _p= frac{ sigma_p^2}{2 _{Gauge}^2} ) | 
| B. | ( _p= frac{ sigma_{gauge}^2}{ _{Total}^2} ) | 
| C. | ( _p= frac{ sigma_P^2}{ _{Gauge}^2} ) | 
| D. | ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} ) | 
| Answer» D. ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} ) | |
| 5. | If the sample variance of a process is, 10.05, and the gauge capability standard deviation is estimated to be 0.79. What will be the value of the estimate of the standard deviation of the product variability? | 
| A. | 9.26 | 
| B. | 3.04 | 
| C. | 2.03 | 
| D. | 8.91 | 
| Answer» C. 2.03 | |
| 6. | Which of these can be used as the estimate of standard deviation of total variability which is including both product variability, and the gauge variability? | 
| A. | The sample mean | 
| B. | The sample variance | 
| C. | The sample standard deviation | 
| D. | No of defects in the sample | 
| Answer» C. The sample standard deviation | |
| 7. | The cause of calling a measurement system adequate because it has P/T ratio lesser than 0.1, is ____________ | 
| A. | A measurement device should be calibrated in units one-tenth large as the accuracy required in final measurement | 
| B. | A measurement device should be calibrated in units one-third large as the accuracy required in final measurement | 
| C. | A measurement device should be calibrated in units one-fourth large as the accuracy required in final measurement | 
| D. | A measurement device should be calibrated in units three-tenth large as the accuracy required in final measurement | 
| Answer» B. A measurement device should be calibrated in units one-third large as the accuracy required in final measurement | |
| 8. | The options are the P/T ratios for different measurement systems. Which of these shows an adequate measurement system? | 
| A. | 0.21 | 
| B. | 0.13 | 
| C. | 0.18 | 
| D. | 0.06 | 
| Answer» E. | |
| 9. | Which of these indicate an adequate measurement system? | 
| A. | ( frac{P}{T} 0.1 ) | 
| B. | ( frac{P}{T} 0.5 ) | 
| C. | ( frac{P}{T} 0.1 ) | 
| D. | ( frac{P}{T}=0.3 ) | 
| Answer» B. ( frac{P}{T} 0.5 ) | |
| 10. | For a process, which has, USL and LSL equal to 60, and 5 respectively, and the value of ( hat{ }_{gauge} ) = 0.887, what will be the value of P/T ratio when k=6? | 
| A. | 0.087 | 
| B. | 0.077 | 
| C. | 0.067 | 
| D. | 0.097 | 
| Answer» E. | |
| 11. | If the number of standard deviations between the usual natural tolerance limits of a normal distribution, what is the value used for k in the P/T ratio? | 
| A. | 5.15 | 
| B. | 8 | 
| C. | 6 | 
| D. | 5.60 | 
| Answer» D. 5.60 | |
| 12. | What is the value of the P/T ratio? | 
| A. | ( frac{P}{T}= frac{1.5k hat{ _p}}{USL-LSL} ) | 
| B. | ( frac{P}{T}= frac{k hat{ }_{gauge}}{USL-LSL} ) | 
| C. | ( frac{P}{T}= frac{2k hat{ _p}}{USL+LSL} ) | 
| D. | ( frac{P}{T}= frac{k hat{ }_{gauge}}{USL+LSL} ) | 
| Answer» C. ( frac{P}{T}= frac{2k hat{ _p}}{USL+LSL} ) | |
| 13. | The P/T ratio stands for ___________ | 
| A. | Probability to tolerance ratio | 
| B. | Precision to time ratio | 
| C. | Probability to total ratio | 
| D. | Precision to tolerance ratio | 
| Answer» E. | |
| 14. | The variance of the total observed measurement is expressed by __________ | 
| A. | ( sigma_{Total}^2= sigma_P^2- sigma_{Gauge}^2 ) | 
| B. | ( sigma_{Total}^2= sigma_P+ sigma_{Gauge}^2 ) | 
| C. | ( sigma_{Total}^2= sigma_P^2+ sigma_{Gauge} ) | 
| D. | ( sigma_{Total}^2= sigma_P^2+ sigma_{Gauge}^2 ) | 
| Answer» E. | |
| 15. | What of these can be used as a reasonable model for measurement system capability studies? Here y,x and denote the observed measurement, true measurement, and the measurement error respectively. | 
| A. | y=x-2 | 
| B. | y=x+ | 
| C. | y=x- | 
| D. | y=x+2 | 
| Answer» C. y=x- | |