Statistical Quality Control Questions and Answers – Time-Weighted – Cumulative Sum Control Chart – 6

This set of Statistical Quality Control Multiple Choice Questions & Answers (MCQs) focuses on “Time-Weighted – Cumulative Sum Control Chart – 6”.

1. What is the standardized value used for x_i in the standardized cusum chart?
a) \(y_i=\frac{x_i-μ_0}{3σ}\)
b) \(y_i=\frac{x_i-μ_0}{σ}\)
c) \(y_i=\frac{x_i-μ_0}{2σ}\)
d) \(y_i=\frac{x_i-μ_0}{6σ}\)
View Answer

2. What is the value of one sided upper cusum of the standardized cusum chart?
a) \(C_i^+=max⁡\left\{0,y_i-k+C_{i-1}^+\right\}\)
b) \(C_i^+=max⁡\left\{0,y_i+k+C_{i-1}^+\right\}\)
c) \(C_i^+=min⁡\left\{0,y_i+k+C_{i-1}^+\right\}\)
d) \(C_i^+=min\left\{0,y_i-k+C_{i-1}^+\right\}\)
View Answer

3. What is the value of the one-sided lower cusum of the standardized cusum chart?
a) \(C_i^+=max⁡\left\{0,-y_i-k+C_{i-1}^+\right\}\)
b) \(C_i^-=max⁡\left\{0,y_i-k+C_{i-1}^-\right\}\)
c) \(C_i^-=max⁡\left\{0,-y_i-k+C_{i-1}^-\right\}\)
d) \(C_i^+=max⁡\left\{0,-y_i-k+C_{i-1}^-\right\}\)
View Answer

4. Which of these is an advantage of the standardized cusum chart?
a) There can be same means chosen for different processes
b) There can be same standard deviations chosen for different processes
c) The choices of k and h parameters are not scale dependent
d) No variability at all
View Answer

5. Combined Cusum-Shewhart procedure is applied _____________
a) On-line control
b) On-line measure
c) Off-line control
d) On-line measure
View Answer

6. To apply Shewhart-cusum combined procedure, the Shewhart control limits should be applied almost _________ standard deviation from the center.
a) 2
b) 1
c) 1.5
d) 3.5
View Answer

7. What is the full form of FIR feature in the cusum charts?
a) First initial response
b) Fast initial response
c) First initiation response
d) Free initial response
View Answer

8. What is the meaning of the 50% headstart?
a) The value of C₀^– equal to H/2
b) The value of C₀⁺ equal to H/2
c) Both the values of C₀⁺ and C₀^– equal to H/2
d) Both the values of C₀⁺ and C₀^– lesser than H/2
View Answer

9. What is the standardized variable value for the cusum charts from Hawkins?
a) \(v_i=\frac{\sqrt{|y_i|}-0.822}{0.349}\)
b) \(v_i=\frac{\sqrt{|y_i|}-0.822}{0.500}\)
c) \(v_i=\frac{3\sqrt{|y_i|}-0.822}{0.349}\)
d) \(v_i=\frac{2\sqrt{|y_i|}-0.822}{0.349}\)
View Answer

10. The standardized variable v_i was subjected to vary more with respect to ____________ than process mean.
a) Sample mean
b) Sample variance
c) Process variance
d) Process standard deviation
View Answer

11. The two-sided standardized scale, i.e. standard deviation cusums will have its upper cusum value equal to ___________
a) \(S_i^+=max⁡⁡\left\{0,v_i-k+S_{i-1}^+\right\}\)
b) \(S_i^+=max⁡\left\{0,v_i+k-S_{i-1}^+\right\}\)
c) \(S_i^+=max⁡\left\{0,v_i-k-S_{i-1}^-\right\}\)
d) \(S_i^+=max⁡\left\{0,v_i-k+S_{i-1}^-\right\}\)
View Answer

12. What is the value of lower cusum in the standardized scale cusum chart for process variability?
a) \(S_i^+=max⁡\left\{0,v_i-k+S_{i-1}^+\right\}\)
b) \(S_i^-=max⁡\left\{0,v_i-k+S_{i-1}^+\right\}\)
c) \(S_i^-=max⁡\left\{0,-v_i-k+S_{i-1}^-\right\}\)
d) \(S_i^+=max⁡\left\{0,-v_i-k+S_{i-1}^+\right\}\)
View Answer

13. The values of S_i⁺ or S_i^– at the starting are ____ if the FIR feature is not used.
a) 1
b) H
c) H/2
d) 0
View Answer

14. Only two-sided cusums are useful all over the industries.
a) True
b) False
View Answer

15. Some cusums can have different sensitivity of the lower cusum than the upper cusum.
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.

If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]