Explore topic-wise MCQs in Statistical Quality Control.

This section includes 16 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.

Which of this is a situation when x bar and s charts should be utilized instead of x bar and R charts?

A. When sample size is constant
B. When sample standard deviation is less than 1
C. When sample range is more than 1
D. When sample size is variable
Answer» E.
Discussion
2.

X bar and R charts are highly favorable when the sample size is high.

A. True
B. False
Answer» C.
Discussion
3.

Process standard deviation is the mean of all sample standard deviations.

A. True
B. False
Answer» C.
Discussion
4.

For mean of all sample standard deviations=0.0094 and the sample size= 5, what will be the estimate of process standard deviation?

A. 100
B. 0.01
C. 0.0094
D. 94
Answer» C. 0.0094
Discussion
5.

What is the formula for UCL for x bar chart when s is known?

A. \(UCL = \bar{\bar{x}} + A_3 \bar{s}\)
B. \(UCL = \bar{\bar{x}} – A_2 \bar{s}\)
C. \(UCL = \bar{\bar{x}} – A_3 \bar{s}\)
D. \(UCL = \bar{\bar{x}} + A_2 \bar{s}\)
Answer» B. \(UCL = \bar{\bar{x}} – A_2 \bar{s}\)
Discussion
6.

What is the value of B3 in the terms of c4?

A. \(c_4-3\sqrt{(1-c_4^2)}\)
B. \(c_4+3\sqrt{(1+c_4^2)}\)
C. \(1-\frac{3}{c_4} \sqrt{(1-c_4^2)}\)
D. \(1-\frac{c_4}{3\sqrt{(1-c_4^2)}}\)
Answer» D. \(1-\frac{c_4}{3\sqrt{(1-c_4^2)}}\)
Discussion
7.

What is the value of LCL for the s chart when the standard value for σ is not given?

A. B5 s
B. B4 s
C. B6 s
D. B3 s
Answer» E.
Discussion
8.

The center line of the s chart denotes ____

A. Standard deviation of the process
B. Mean of m number of standard deviations, where m is the number of samples
C. c4 s
D. B5 s
Answer» C. c4 s
Discussion
9.

What is the value of B5 in the terms of c4?

A. \(c_4-3\sqrt{(1-c_4^2)}\)
B. \(c_4+3\sqrt{(1+c_4^2)}\)
C. \(c_4+3\sqrt{(1-c_4^2)}\)
D. \(c_4-3\sqrt{(1+c_4^2)}\)
Answer» B. \(c_4+3\sqrt{(1+c_4^2)}\)
Discussion
10.

If the sample standard deviations for a process are 1.567, 1.429, 1.323, 1.525, 1.989, 1.457, what will be the mean standard deviation?

A. 1.548
B. 1.858
C. 1.327
D. 1.967
Answer» B. 1.858
Discussion
11.

The center line of the s chart with a standard value for σ given, denotes the value of _____

A. B6 σ
B. c4 σ
C. B5 σ
D. c5 σ
Answer» C. B5 σ
Discussion
12.

Which of these formulas gives the exact equation for the UCL of s chart with a std. value for σ given?

A. B6 σ
B. B5 σ
C. c4 σ
D. c3 σ
Answer» B. B5 σ
Discussion
13.

What is the standard formula of sample variance?

A. \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{1/2}}{n-1}\)
B. \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}\)
C. \([\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}]^{1/2}\)
D. \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n}\)
Answer» B. \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}\)
Discussion
14.

What is an unbiased estimator of unknown variance of a probability distribution?

A. Sample mean
B. Sample standard deviation
C. Sample variance
D. Sample range
Answer» D. Sample range
Discussion
15.

What does “s” denote in x bar and s charts?

A. Sample
B. Sample standard deviation
C. Process standard deviation
D. Statistics
Answer» C. Process standard deviation
Discussion
16.

What is the estimator of standard deviation in the x bar and R charts?

A. Mean of one sample
B. Mean of whole process
C. Range
D. Process capability ratio
Answer» D. Process capability ratio
Discussion