Concepts:After setting the control limits $($see Q$4$ above$),$ the following three samples were collected

today. The packets were measured, and the following results were obtained. Use the sample

statistics from each of the samples in comparison to the control limits you designed in Q$4$

above to check for process control.

Is the process in control? Why? $($Fill the sample stats and use the control limits from

Q$4$ to provide your conclusions.$)$

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$?$