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.

P=1- M.

A. True
B. False
Answer» B. False
2.

The general rule, that is used to define a measurement system adequate by using P/T ratio equal to or less than 0.1, can be used without caution.

A. True
B. False
Answer» C.
3.

The gauge capability ratio M is expressed as ____________

A. ( _p= frac{ sigma_p^2}{2 _{Gauge}^2} )
B. ( _p= frac{ sigma_{gauge}^2}{ _{Total}^2} )
C. ( _p= frac{ sigma_P^2}{ _{Gauge}^2} )
D. ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} )
Answer» C. ( _p= frac{ sigma_P^2}{ _{Gauge}^2} )
4.

Which of these show a correct expression for the p?

A. ( _p= frac{ sigma_p^2}{2 _{Gauge}^2} )
B. ( _p= frac{ sigma_{gauge}^2}{ _{Total}^2} )
C. ( _p= frac{ sigma_P^2}{ _{Gauge}^2} )
D. ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} )
Answer» D. ( _p= frac{ sigma_{gauge}^2}{2 _{total}^2} )
5.

If the sample variance of a process is, 10.05, and the gauge capability standard deviation is estimated to be 0.79. What will be the value of the estimate of the standard deviation of the product variability?

A. 9.26
B. 3.04
C. 2.03
D. 8.91
Answer» C. 2.03
6.

Which of these can be used as the estimate of standard deviation of total variability which is including both product variability, and the gauge variability?

A. The sample mean
B. The sample variance
C. The sample standard deviation
D. No of defects in the sample
Answer» C. The sample standard deviation
7.

The cause of calling a measurement system adequate because it has P/T ratio lesser than 0.1, is ____________

A. A measurement device should be calibrated in units one-tenth large as the accuracy required in final measurement
B. A measurement device should be calibrated in units one-third large as the accuracy required in final measurement
C. A measurement device should be calibrated in units one-fourth large as the accuracy required in final measurement
D. A measurement device should be calibrated in units three-tenth large as the accuracy required in final measurement
Answer» B. A measurement device should be calibrated in units one-third large as the accuracy required in final measurement
8.

The options are the P/T ratios for different measurement systems. Which of these shows an adequate measurement system?

A. 0.21
B. 0.13
C. 0.18
D. 0.06
Answer» E.
9.

Which of these indicate an adequate measurement system?

A. ( frac{P}{T} 0.1 )
B. ( frac{P}{T} 0.5 )
C. ( frac{P}{T} 0.1 )
D. ( frac{P}{T}=0.3 )
Answer» B. ( frac{P}{T} 0.5 )
10.

For a process, which has, USL and LSL equal to 60, and 5 respectively, and the value of ( hat{ }_{gauge} ) = 0.887, what will be the value of P/T ratio when k=6?

A. 0.087
B. 0.077
C. 0.067
D. 0.097
Answer» E.
11.

If the number of standard deviations between the usual natural tolerance limits of a normal distribution, what is the value used for k in the P/T ratio?

A. 5.15
B. 8
C. 6
D. 5.60
Answer» D. 5.60
12.

What is the value of the P/T ratio?

A. ( frac{P}{T}= frac{1.5k hat{ _p}}{USL-LSL} )
B. ( frac{P}{T}= frac{k hat{ }_{gauge}}{USL-LSL} )
C. ( frac{P}{T}= frac{2k hat{ _p}}{USL+LSL} )
D. ( frac{P}{T}= frac{k hat{ }_{gauge}}{USL+LSL} )
Answer» C. ( frac{P}{T}= frac{2k hat{ _p}}{USL+LSL} )
13.

The P/T ratio stands for ___________

A. Probability to tolerance ratio
B. Precision to time ratio
C. Probability to total ratio
D. Precision to tolerance ratio
Answer» E.
14.

The variance of the total observed measurement is expressed by __________

A. ( sigma_{Total}^2= sigma_P^2- sigma_{Gauge}^2 )
B. ( sigma_{Total}^2= sigma_P+ sigma_{Gauge}^2 )
C. ( sigma_{Total}^2= sigma_P^2+ sigma_{Gauge} )
D. ( sigma_{Total}^2= sigma_P^2+ sigma_{Gauge}^2 )
Answer» E.
15.

What of these can be used as a reasonable model for measurement system capability studies? Here y,x and denote the observed measurement, true measurement, and the measurement error respectively.

A. y=x-2
B. y=x+
C. y=x-
D. y=x+2
Answer» C. y=x-