MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 18 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. |
The moving average span w at a time I is defined as ____________ |
| A. | \(M_i=\frac{x_i+x_{i-1}+⋯x_{w+1}}{w}\) |
| B. | \(M_i=\frac{x_i+x_{i-1}+⋯x_{w+1}}{i}\) |
| C. | \(M_i=\frac{x_i+x_{i-1}+⋯x_{i-w+1}}{w}\) |
| D. | \(M_i=\frac{x_i+x_{i-1}+⋯x_{i-w+1}}{i}\) |
| Answer» D. \(M_i=\frac{x_i+x_{i-1}+⋯x_{i-w+1}}{i}\) | |
| 2. |
The EWMA chart can be used as a basis for a dynamic process-control algorithm. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
Which of these can be used as a forecast of where the process mean will be at the next time period? |
| A. | p-chart |
| B. | c-chart |
| C. | EWMA chart |
| D. | R-chart |
| Answer» D. R-chart | |
| 4. |
The Poisson EWMA has considerably better ability to detect assignable causes than Shewhart c-chart. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 5. |
EWMA recursion is different in the case of the EWMA charts for normal data and EWMA charts for Poisson data. |
| A. | True |
| B. | False |
| Answer» C. | |
| 6. |
“AL” in the expression of the LCL of EWMA charts for Poisson distribution, is ______ |
| A. | Lower control limit factor |
| B. | Lower allowance factor |
| C. | Life Allowance factor |
| D. | Last Allowance factor |
| Answer» B. Lower allowance factor | |
| 7. |
LCL for EWMA chart for Poisson distribution is written as ____________ |
| A. | LCL=\(μ_0-A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1+λ)^{2i}\big\}}\) |
| B. | LCL=\(μ_0+A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1+λ)^{2i}\big\}}\) |
| C. | LCL=\(μ_0+A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| D. | LCL=\(μ_0-A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| Answer» E. | |
| 8. |
What is the upper limit for the EWMA for Poisson data? |
| A. | UCL=\(μ_0+A_U \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| B. | UCL=\(μ_0-A_U \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| C. | UCL=\(μ_0-A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| D. | UCL=\(μ_0+A_L \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) |
| Answer» B. UCL=\(μ_0-A_U \sqrt{\frac{λμ_0}{2-λ}\big\{1-(1-λ)^{2i}\big\}}\) | |
| 9. |
What is the value of EWMV? |
| A. | \(S_i^2=λ(x_i-z_i)^2- (1+λ) S_{i-1}^2\) |
| B. | \(S_i^2=λ(x_i-z_i)^2± (1-λ) S_{i-1}^2\) |
| C. | \(S_i^2=λ(x_i-z_i)^2- (1-λ) S_{i-1}^2\) |
| D. | \(S_i^2=λ(x_i-z_i)^2+ (1-λ) S_{i-1}^2\) |
| Answer» E. | |
| 10. |
EWMV is ____________ |
| A. | Exponentially weighted mean variability |
| B. | Exponentially weighted moving variance |
| C. | Exponentially weighted mean variance |
| D. | Exponentially weighted moving variability |
| Answer» C. Exponentially weighted mean variance | |
| 11. |
EWRMS chart is sensitive to _____________ |
| A. | Process mean only |
| B. | Process standard deviation only |
| C. | Neither process mean nor standard deviation |
| D. | Both, process mean and standard deviation |
| Answer» E. | |
| 12. |
What is the lower limit of the EWRMS chart? |
| A. | LCL=\(3σ_0 \sqrt{\frac{χ_{v,1-\frac{α}{2}}^2}{v}}\) |
| B. | LCL=\(σ_0 \sqrt{\frac{χ_{v,1-\frac{α}{2}}^2}{2v}}\) |
| C. | LCL=\(σ_0 \sqrt{\frac{χ_{v,1-\frac{α}{2}}^2}{v}}\) |
| D. | LCL=\(\frac{σ_0}{2} \sqrt{\frac{χ_{v,1-\frac{α}{2}}^2}{v}}\) |
| Answer» D. LCL=\(\frac{σ_0}{2} \sqrt{\frac{χ_{v,1-\frac{α}{2}}^2}{v}}\) | |
| 13. |
EWRMS charts have the upper limit of ____________ |
| A. | UCL=\(σ_0 \sqrt{\frac{χ_{v,\frac{α}{2}}^2}{v}}\) |
| B. | UCL=\(\frac{σ_0}{2} \sqrt{\frac{χ_{v,\frac{α}{2}}^2}{v}}\) |
| C. | UCL=\(σ_0 \sqrt{\frac{χ_{v,\frac{α}{2}}^2}{2v}}\) |
| D. | UCL=\(\sqrt{\frac{χ_{v,\frac{α}{2}}^2}{v}}\) |
| Answer» B. UCL=\(\frac{σ_0}{2} \sqrt{\frac{χ_{v,\frac{α}{2}}^2}{v}}\) | |
| 14. |
EWRMS chart plots __________ on the control chart. |
| A. | Exponentially weighted root moving square error |
| B. | Exponentially weighted root mean square error |
| C. | Exponentially weighted root mean signal error |
| D. | Exponentially weighted root moving signal error |
| Answer» C. Exponentially weighted root mean signal error | |
| 15. |
“Si2/σ2” has an approximate __________ distribution. |
| A. | Normal |
| B. | Lognormal |
| C. | Exponential |
| D. | Chi-square |
| Answer» E. | |
| 16. |
What is the value of EWMS? |
| A. | \(S_i^2= λ(x_i-μ)^2-(1-λ) S_{i-1}^2\) |
| B. | \(S_i^2= λ(x_i-μ)^2-(1+λ) S_{i-1}^2\) |
| C. | \(S_i^2= λ(x_i-μ)^2+(1-λ) S_{i-1}^2\) |
| D. | \(S_i^2= λ(x_i-μ)^2+(1+λ) S_{i-1}^2\) |
| Answer» D. \(S_i^2= λ(x_i-μ)^2+(1+λ) S_{i-1}^2\) | |
| 17. |
Who were the first people to introduce the EWMA charts to monitor process standard deviation? |
| A. | McGregor and Harris |
| B. | Harris and Roberts |
| C. | Crowder and Roberts |
| D. | Harris and Roberts |
| Answer» B. Harris and Roberts | |
| 18. |
What is the initial S in EWMS stand for? |
| A. | Severity error |
| B. | Signal error |
| C. | Square error |
| D. | Simple error |
| Answer» D. Simple error | |