MCQOPTIONS

Explore topic-wise MCQs in Statistical Quality Control.

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.	Some cusums can have different sensitivity of the lower cusum than the upper cusum.
A.	True
B.	False
Answer» B. False

2.	Only two-sided cusums are useful all over the industries.
A.	True
B.	False
Answer» C.

3.	The values of Si+ or Si– at the starting are ____ if the FIR feature is not used.
A.	1
B.	H
C.	H/2
D.	0
Answer» E.

4.	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.	\(S_i^+=max⁡\left\{0,-v_i-k+S_{i-1}^+\right\}\)
Answer» D. \(S_i^+=max⁡\left\{0,-v_i-k+S_{i-1}^+\right\}\)

5.	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.	\(S_i^+=max⁡\left\{0,v_i-k+S_{i-1}^-\right\}\)
Answer» B. \(S_i^+=max⁡\left\{0,v_i+k-S_{i-1}^+\right\}\)

6.	The standardized variable vi was subjected to vary more with respect to ____________ than process mean.
A.	Sample mean
B.	Sample variance
C.	Process variance
D.	Process standard deviation
Answer» D. Process standard deviation

7.	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.	\(v_i=\frac{2\sqrt{\|y_i\|}-0.822}{0.349}\)
Answer» B. \(v_i=\frac{\sqrt{\|y_i\|}-0.822}{0.500}\)

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
Answer» D. Both the values of C0+ and C0– lesser than H/2

9.	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
Answer» C. First initiation response

10.	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
Answer» E.

11.	Combined Cusum-Shewhart procedure is applied _____________
A.	On-line control
B.	On-line measure
C.	Off-line control
D.	On-line measure
Answer» B. On-line measure

12.	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
Answer» D. No variability at all

13.	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.	\(C_i^+=max⁡\left\{0,-y_i-k+C_{i-1}^-\right\}\)
Answer» D. \(C_i^+=max⁡\left\{0,-y_i-k+C_{i-1}^-\right\}\)

14.	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.	\(C_i^+=min\left\{0,y_i-k+C_{i-1}^+\right\}\)
Answer» B. \(C_i^+=max⁡\left\{0,y_i+k+C_{i-1}^+\right\}\)

15.	What is the standardized value used for xi 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.	\(y_i=\frac{x_i-μ_0}{6σ}\)
Answer» C. \(y_i=\frac{x_i-μ_0}{2σ}\)