5. Quality Management

Statistical Control — Quiz

Test your understanding of statistical control with 5 practice questions.

Practice Questions

Question 1

Which metric represents the average number of samples taken until a Shewhart control chart signals an out-of-control condition?

Question 2

For a Shewhart X-bar chart using ±3σ limits and assuming a stable process, what is the approximate ARL (Average Run Length) for false alarms?

Question 3

How does increasing the control limit multiplier from $k=3$ to $k=4$ affect a Shewhart control chart?

Question 4

Which Western Electric rule signals a potential out-of-control condition when fifteen consecutive points fall within Zone C on either side of the center line?

Question 5

Given a subgroup size $n=5$, average subgroup standard deviation $\bar S=1.2$, and control-chart factors $B_3=0.136$ and $B_4=2.114$, what are the 3σ control limits for the S chart?