This set of Statistical Quality Control Multiple Choice Questions & Answers (MCQs) focuses on “Control Charting Techniques – Statistical Process Control for Short Production Runs – 5”.

1. When the type I error is specified, which of these is correct expression for the UCL of the modified control charts?
a) \(UCL=USL-\left(Z_δ+\frac{Z_α}{\sqrt{n}}\right) \sigma \)
b) \(UCL=USL-\left(Z_δ-\frac{Z_α}{\sqrt{n}}\right) \sigma \)
c) \(UCL=USL+\left(Z_δ+\frac{Z_α}{\sqrt{n}}\right) \sigma \)
d) \(UCL=USL+\left(Z_δ-\frac{Z_α}{\sqrt{n}}\right) \sigma \)
View Answer

2. Which of these is a correct expression for the UCL of the modified control charts when the type I error is not specified?
a) \(UCL=USL+\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
b) \(UCL=USL+\left(Z_δ-\frac{3}{\sqrt{n}}\right) \sigma \)
c) \(UCL=USL-\left(Z_δ-\frac{3}{\sqrt{n}}\right) \sigma \)
d) \(UCL=USL-\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
View Answer

3. When the type I error is not specified, the value of LCL of the modified control charts is ____________
a) \(LCL=LSL+\left(Z_δ-\frac{3}{\sqrt{n}}\right) \sigma \)
b) \(LCL=LSL-\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
c) \(LCL=LSL-\left(Z_δ-\frac{3}{\sqrt{n}}\right) \sigma \)
d) \(LCL=LSL+\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
View Answer

4. ____________ sigma limits are recommended for modified control charts.
a) 4
b) 2
c) 3
d) 6
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5. Which of the hypothesis can be tested using the modified control charts?
a) μ_L ≤ μ ≤ μ_U
b) μ_L ≤ μ
c) μ ≤ μ_U
d) μ_L = μ = μ_U
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6. To design a modified control chart, we must have a good estimate of _________ available.
a) μ
b) σ
c) μ²
d) process variance
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7. If process variability shifts, the modified control charts are ____________
a) Not appropriate
b) Totally appropriate
c) Good to use
d) Perfect for the mapping the shifts
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8. If there is a chance of shifting of the process variability, which chart may be used with the modified control chart?
a) c-chart
b) p-chart
c) R-chart
d) x̅ -chart
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9. From which chart the initial estimate of the process variability is determined?
a) R-chart
b) c-chart
c) p-chart
d) Cusum charts
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10. When the type I error is specified, the LCL of the modified control chart is ___________
a) \(LCL=LSL-\left(Z_δ-\frac{Z}{\sqrt{n}}\right)\)
b) \(LCL=LSL-\left(Z_δ+\frac{Z}{\sqrt{n}}\right)\)
c) \(LCL=LSL+\left(Z_δ+\frac{Z}{\sqrt{n}}\right)\)
d) \(LCL=LSL+\left(Z_δ-\frac{Z}{\sqrt{n}}\right)\)
View Answer

11. The approach of using a x chart to monitor the fraction of nonconforming units or the fraction of the units exceeding the specifications, is called the ___________
a) Shewhart control charts
b) Cusum charts
c) EWMA charts
d) Acceptance control charts
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12. Who was the first person to develop the acceptance control charts?
a) Astern
b) Roy
c) Freund
d) Crowder
View Answer

13. A modified control charts limit expression does not contain ___________
a) δ
b) σ
c) μ
d) α
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14. The p-chart is the only chart to monitor the fraction of nonconforming units.
a) True
b) False
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15. If the process mean increases very much, the modified control charts are not appropriate.
a) True
b) False
View Answer

Sanfoundry Global Education & Learning Series – Statistical Quality Control.

To practice all areas of Statistical Quality Control, here is complete set of 1000+ Multiple Choice Questions and Answers.

This set of Statistical Quality Control Multiple Choice Questions & Answers (MCQs) focuses on “Control Charting Techniques – Statistical Process Control for Short Production Runs – 3”.

1. What is the statistic used to plot on control chart for a standardized p-chart for short production runs?
a) \(Z_i=\frac{\hat{p}_i+\bar{p}}{\frac{\sqrt{\bar{p}(1+\bar{p})}}{n}}\)
b) \(Z_i=\frac{\hat{p}_i-\bar{p}}{\frac{\sqrt{\bar{p}(1-\bar{p})}}{n}}\)
c) \(Z_i=\frac{\hat{p}_i-\bar{p}}{\frac{\sqrt{\bar{p}(1+\bar{p})}}{n}}\)
d) \(Z_i=\frac{\hat{p}_i+\bar{p}}{\frac{\sqrt{\bar{p}(1-\bar{p})}}{n}}\)
View Answer

2. What is the value of standard deviation for the standardized p-chart for short production runs?
a) \(\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}\)
b) \(\sqrt{\frac{\bar{p}(1+\bar{p})}{n}}\)
c) \(\sqrt{\frac{\bar{p}(\bar{p}-1)}{n}}\)
d) \(\sqrt{\frac{\bar{p}(1-\bar{p})}{2n}}\)
View Answer

3. What is the standard deviation value for the standardized c chart used for the short production runs?
a) \(\sqrt{c}\)
b) \(\sqrt{\bar{c}}\)
c) \(\bar{c}\)
d) \(\hat{c}\)
View Answer

4. What is the value of the statistic to be plotted on the standardized c-chart which is designed to run in the short production?
a) \(Z_i=\frac{c_i+2\bar{c}}{\sqrt{\bar{c}}}\)
b) \(Z_i=\frac{c_i-2\bar{c}}{\sqrt{\bar{c}}}\)
c) \(Z_i=\frac{c_i-\bar{c}}{\sqrt{\bar{c}}}\)
d) \(Z_i=\frac{c_i+\bar{c}}{\sqrt{\bar{c}}}\)
View Answer

5. What is the value of the target value for the number nonconforming chart?
a) np
b) 2p
c) 3p
d) 2np
View Answer

6. The attribute u_i when plotted on standardized control chart for short production runs, the statistic plotted on the chart has the value equal to __________
a) \(Z_i=\frac{u_i-\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
b) \(Z_i=\frac{u_i+2\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
c) \(Z_i=\frac{u_i+\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
d) \(Z_i=\frac{u_i-2\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
View Answer

7. What is the standard deviation of the number of nonconformities per unit, when the standardized u-chart is used for monitoring the process?
a) \(\sqrt{\frac{\bar{u}}{2n}}\)
b) \(\sqrt{\frac{\bar{u}}{n}}\)
c) \(\frac{\sqrt{u}}{n}\)
d) \(\sqrt{\bar{u}}\)
View Answer

8. What is the value of the statistic plotted on the standardized np-chart?
a) \(z_i=\frac{n\hat{p}_i+n\bar{p}}{\sqrt{n\bar{p}(1+\bar{p})}}\)
b) \(z_i=\frac{n\hat{p}_i-n\bar{p}}{\sqrt{n\bar{p}(1+\bar{p})}}\)
c) \(z_i=\frac{n\hat{p}_i+n\bar{p}}{\sqrt{n\bar{p}(1-\bar{p})}}\)
d) \(z_i=\frac{n\hat{p}_i-n\bar{p}}{\sqrt{n\bar{p}(1-\bar{p})}}\)
View Answer

9. The upper limit of the standardized c-chart for short production runs is ________
a) 1
b) 2
c) -3
d) +3
View Answer

10. The LCL of the standardized p-chart is ________
a) -2
b) +3
c) -1
d) -3
View Answer

11. The center line of the np-chart is at _______
a) -2
b) +2
c) 0
d) 3
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12. Which of these correctly shows the correct values for standardized u-chart in the order of CL, UCL and LCL?
a) 0, 3 and -3
b) 3, 0 and -3
c) 0, -3 and 3
d) -3, 0 and 3
View Answer

13. Which of these does not have the LCL and UCL at ∓3?
a) Standardized u-chart
b) Standardized R-chart
c) Standardized c-chart
d) Standardized p-chart
View Answer

14. The values of control limits for the standardized c-chart are different from the control limits of the standardized p-chart.
a) True
b) False
View Answer

15. The control limits for the p-chart and the standardized p-chart are different.
a) True
b) False
View Answer

Sanfoundry Global Education & Learning Series – Statistical Quality Control.

To practice all areas of Statistical Quality Control, here is complete set of 1000+ Multiple Choice Questions and Answers.

This set of Statistical Quality Control Multiple Choice Questions & Answers (MCQs) focuses on “Control Charting Techniques – Statistical Process Control for Short Production Runs – 2”.

1. What is the UCL of the standardized R chart for short production runs?
a) D₄
b) D₅
c) D₁
d) D₂
View Answer

2. What is the value of LCL of the standardized R chart for short runs?
a) D₄
b) D₂
c) D₁
d) D₃
View Answer

3. What is the value of standard variable plotted in the standardized x bar chart for short run production?
a) \(\bar{x}_i^s=\frac{\bar{M}_i-T_j}{2\bar{R}_j}\)
b) \(\bar{x}_i^s=\frac{\bar{M}_i+T_j}{\bar{R}_j}\)
c) \(\bar{x}_i^s=\frac{\bar{M}_i-T_j}{\bar{R}_j}\)
d) \(\bar{x}_i^s=\frac{2\bar{M}_i-T_j}{\bar{R}_j}\)
View Answer

4. The standardized x bar chart has the value of LCL when used for short production runs is ____________
a) 3
b) –A₂
c) 1
d) A₂
View Answer

5. Which of these has the same difference between the LCL and Center line, and the UCL and the center line?
a) Standardized R chart for short production runs
b) Standardized x bar charts for short production runs
c) Both, standardized x bar and R charts for short production runs
d) Neither one of the standardized R chart and standardized x bar charts for short production runs
View Answer

6. The term M_i, which is used in the expression of the standard variable used in standardized x bar charts for short production runs, is defined as ___________
a) Average of averages of standard deviations
b) Average of original mean measurements
c) Moving average
d) Exponentially weighted moving average
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7. R_j is the ____________
a) Target value for range
b) Target value for ratios
c) Result of jth part
d) Ratio of jth part
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8. T_j stands for __________
a) Target value for relative range
b) Target value for relative mean
c) target value for x bar for each part number
d) Target value for tested value of the variable
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9. Which of these is correct?
a) \(\bar{R}_j=\frac{Sd_2}{c_4}\)
b) \(\bar{R}_j=\frac{Sd_2}{c_2}\)
c) \(\bar{R}_j=\frac{Sd_2}{2c_2}\)
d) \(\bar{R}_j=\frac{d_2}{c_4}\)
View Answer

10. Standardized control chart approach for short production runs was presented by ____________
a) Rodriguez
b) Roberts
c) Crowder
d) Farnum
View Answer

11. According to Farnum, the coefficient of variation is _____________
a) \(\frac{σ}{μ}\)
b) \(\frac{μ}{σ}\)
c) \(\frac{2σ}{μ}\)
d) \(\frac{2μ}{σ}\)
View Answer

12. Which of these is true according to Farnum?
a) The coefficient of the variation should be randomly varying
b) The coefficient of the variation should be systematically varying
c) The coefficient of the variation should be varying, maybe randomly or systematically
d) The coefficient of the variation must be constant
View Answer

13. Which of these is correct target value for standardized control chart for fraction nonconforming for shorter production runs?
a) p
b) np
c) c
d) R̅
View Answer

14. The standardized control chart approach for short production runs can only be applied on variable control charts.
a) True
b) False
View Answer

15. The DNOM approach does not need the measurements to be taken at all.
a) True
b) False
View Answer

Sanfoundry Global Education & Learning Series – Statistical Quality Control.

To practice all areas of Statistical Quality Control, here is complete set of 1000+ Multiple Choice Questions and Answers.