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.

If the number of times a particular stream gives the maximum value of average or range for the GCC, increases, the value of one sided in-control ARL for that event will increase.

A. True
B. False
Answer» B. False
2.

Runs tests can be applied on the GCC.

A. True
B. False
Answer» C.
3.

If there are 6 streams of a MSP, and one of the streams has given 4 consecutive times the largest value, what will be the value of the one sided in-control ARL for this event?

A. 200
B. 400
C. 259
D. 421
Answer» D. 421
4.

What is the value of the one sided in-control ARL for the GCC?

A. \(ARL(1)_0=\frac{s^r}{s-1}\)
B. \(ARL(1)_0=\frac{s^r-1}{s-1}\)
C. \(ARL(1)_0=\frac{s^{2r}-1}{s+1}\)
D. \(ARL(1)_0=\frac{s^r+1}{s+1}\)
Answer» C. \(ARL(1)_0=\frac{s^{2r}-1}{s+1}\)
5.

A MSP is out of control if a point on the GCC exceeds __________

A. 3-sigma limit
B. 2-sigma limit
C. 1.5-sigma limit
D. 1-sigma limit
Answer» B. 2-sigma limit
6.

Each plotted point on the GCC is identified by __________

A. The mean value of the stream
B. The stream that produced it
C. The standard deviation of the stream
D. The variance of the stream
Answer» C. The standard deviation of the stream
7.

___________ range will be plotted on the R chart of the GCC.

A. Maximum
B. Minimum
C. Both the maximum and the minimum
D. Neither the maximum nor the minimum
Answer» B. Minimum
8.

In GCC we plot ___________ means observed at any time period.

A. Only the maximum
B. Only the minimum
C. Mean of the
D. Both, the maximum and the minimum
Answer» E.
9.

When the subgroup size is 4 for any process samples, what will be the value of the R chart LCL of the GCC?

A. 5
B. 1
C. 0
D. 2
Answer» D. 2
10.

What will be the value of the LCL of the x chart of the GCC when the value of x =12, and the value of R̅= 0.1 and sample size = 4?

A. 12.0729
B. 12.9271
C. 11.9271
D. 11.0729
Answer» B. 12.9271
11.

If the sample size is 4, what will be the value of the upper control limit of the GCC R chart?

A. UCL=2.672R̅
B. UCL=2.282R̅
C. UCL=2.114R̅
D. UCL=2.574R̅
Answer» C. UCL=2.114R̅
12.

What is the ratio of the UCL to LCL of the same GCC R chart?

A. UCL/LCL=D2/D3
B. UCL/LCL=D3/D4
C. UCL/LCL=D4/D3
D. UCL/LCL=D4/D2
Answer» D. UCL/LCL=D4/D2
13.

What is the value of the UCL of the R chart constructed for the GCC?

A. UCL = D4 R
B. UCL = D3 R
C. UCL = R ̅+ D3 R
D. UCL = R ̅+ D4 R
Answer» B. UCL = D3 R
14.

What is the value of the difference between the UCL and the LCL of x̅ chart of the GCC?

A. 1
B. 0
C. 3A2 R
D. 2A2 R
Answer» E.
15.

The upper control limits for the GCC will be ____________ for the x̅ chart.

A. UCL=\(\bar{\bar{x}}+A_2 \overline{R}\)
B. UCL=\(\bar{\bar{x}}-A_2 R\)
C. UCL=\(\bar{\bar{x}}-A_2 \overline{R}\)
D. UCL=\(\bar{\bar{x}}+A_2 R\)
Answer» B. UCL=\(\bar{\bar{x}}-A_2 R\)