Statistical Quality Control Questions and Answers – Control Charting Techniques – Statistical Process Control for Short Production Runs – 5

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) \(UCL=USL+\left(Z_δ-\frac{Z_α}{\sqrt{n}}\right) \sigma \)
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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) \(UCL=USL-\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
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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) \(LCL=LSL+\left(Z_δ+\frac{3}{\sqrt{n}}\right) \sigma \)
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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) \(LCL=LSL+\left(Z_δ-\frac{Z}{\sqrt{n}}\right)\)
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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
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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
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