Concepts:

What is the possible error committed in conclusions you have drawn about the process

based on each of the $3$ samples? $($This is about type $1$ and type $2$ errors in hypothesis

testing.$)$

Sample $1$:

Sample $2$:

Sample $3$:

What causes of variation $($common or assignable$)$ are present in the process now, after

sample $3?($Based on your answer to #$5$ above.$).$ Consider what causes of variation are

present when a process is in control and out of control.

What should the manager's next step$($s$)$ be$?$