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.

The control limits for the p-chart and the standardized p-chart are different.

A. True
B. False
Answer» B. False
Discussion
2.

The values of control limits for the standardized c-chart are different from the control limits of the standardized p-chart.

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

Which of these does not have the LCL and UCL at ∓3?

A. Standardized u-chart
B. Standardized R-chart
C. Standardized c-chart
D. Standardized p-chart
Answer» C. Standardized c-chart
Discussion
4.

Which of these correctly shows the correct values for standardized u-chart in the order of CL, UCL and LCL?

A. 0, 3 and -3
B. 3, 0 and -3
C. 0, -3 and 3
D. -3, 0 and 3
Answer» B. 3, 0 and -3
Discussion
5.

The center line of the np-chart is at _______

A. -2
B. +2
C. 0
D. 3
Answer» D. 3
Discussion
6.

The LCL of the standardized p-chart is ________

A. -2
B. +3
C. -1
D. -3
Answer» E.
Discussion
7.

The upper limit of the standardized c-chart for short production runs is ________

A. 1
B. 2
C. -3
D. +3
Answer» E.
Discussion
8.

What is the value of the statistic plotted on the standardized np-chart?

A. \(z_i=\frac{n\hat{p}_i+n\bar{p}}{\sqrt{n\bar{p}(1+\bar{p})}}\)
B. \(z_i=\frac{n\hat{p}_i-n\bar{p}}{\sqrt{n\bar{p}(1+\bar{p})}}\)
C. \(z_i=\frac{n\hat{p}_i+n\bar{p}}{\sqrt{n\bar{p}(1-\bar{p})}}\)
D. \(z_i=\frac{n\hat{p}_i-n\bar{p}}{\sqrt{n\bar{p}(1-\bar{p})}}\)
Answer» E.
Discussion
9.

What is the standard deviation of the number of nonconformities per unit, when the standardized u-chart is used for monitoring the process?

A. \(\sqrt{\frac{\bar{u}}{2n}}\)
B. \(\sqrt{\frac{\bar{u}}{n}}\)
C. \(\frac{\sqrt{u}}{n}\)
D. \(\sqrt{\bar{u}}\)
Answer» C. \(\frac{\sqrt{u}}{n}\)
Discussion
10.

The attribute ui when plotted on standardized control chart for short production runs, the statistic plotted on the chart has the value equal to __________

A. \(Z_i=\frac{u_i-\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
B. \(Z_i=\frac{u_i+2\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
C. \(Z_i=\frac{u_i+\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
D. \(Z_i=\frac{u_i-2\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
Answer» B. \(Z_i=\frac{u_i+2\bar{u}}{\sqrt{\frac{\bar{u}}{n}}}\)
Discussion
11.

What is the value of the target value for the number nonconforming chart?

A. np
B. 2p
C. 3p
D. 2np
Answer» B. 2p
Discussion
12.

What is the value of the statistic to be plotted on the standardized c-chart which is designed to run in the short production?

A. \(Z_i=\frac{c_i+2\bar{c}}{\sqrt{\bar{c}}}\)
B. \(Z_i=\frac{c_i-2\bar{c}}{\sqrt{\bar{c}}}\)
C. \(Z_i=\frac{c_i-\bar{c}}{\sqrt{\bar{c}}}\)
D. \(Z_i=\frac{c_i+\bar{c}}{\sqrt{\bar{c}}}\)
Answer» C. \(Z_i=\frac{c_i-\bar{c}}{\sqrt{\bar{c}}}\)
Discussion
13.

What is the standard deviation value for the standardized c chart used for the short production runs?

A. \(\sqrt{c}\)
B. \(\sqrt{\bar{c}}\)
C. \(\bar{c}\)
D. \(\hat{c}\)
Answer» C. \(\bar{c}\)
Discussion
14.

What is the value of standard deviation for the standardized p-chart for short production runs?

A. \(\sqrt{\frac{\bar{p}(1-\bar{p})}{n}}\)
B. \(\sqrt{\frac{\bar{p}(1+\bar{p})}{n}}\)
C. \(\sqrt{\frac{\bar{p}(\bar{p}-1)}{n}}\)
D. \(\sqrt{\frac{\bar{p}(1-\bar{p})}{2n}}\)
Answer» B. \(\sqrt{\frac{\bar{p}(1+\bar{p})}{n}}\)
Discussion
15.

What is the statistic used to plot on control chart for a standardized p-chart for short production runs?

A. \(Z_i=\frac{\hat{p}_i+\bar{p}}{\frac{\sqrt{\bar{p}(1+\bar{p})}}{n}}\)
B. \(Z_i=\frac{\hat{p}_i-\bar{p}}{\frac{\sqrt{\bar{p}(1-\bar{p})}}{n}}\)
C. \(Z_i=\frac{\hat{p}_i-\bar{p}}{\frac{\sqrt{\bar{p}(1+\bar{p})}}{n}}\)
D. \(Z_i=\frac{\hat{p}_i+\bar{p}}{\frac{\sqrt{\bar{p}(1-\bar{p})}}{n}}\)
Answer» C. \(Z_i=\frac{\hat{p}_i-\bar{p}}{\frac{\sqrt{\bar{p}(1+\bar{p})}}{n}}\)
Discussion