A credit card provider monitors the process of handling customer queries for new credit cards using a control chart. The process has five steps and after preliminary analysis a set of parameters was identified as critical. If these parameters were not properly addressed, the process is considered to have been executed incorrectly. Everyday, samples are drawn from the process and assessed. Each sample is of size $100.$ The following table has $30$ such samples drawn over two$-$month period. Each row shows the sample number and the no$.$ of defective executions of the process.

$1.$ Setup a control chart for the process.

$2.$ Is the process under control? Plot the samples on the control chart. Please identify all possible indicators of the process being in or out of control and for reasons to investigate.

Sample No$.$ No$.$ of Defective executions

$110$

$213$

$320$

$421$

$516$

$623$

$73$

$810$

$912$

$104$

$1124$

$1217$

$1315$

$1413$

$1524$

$1619$

$1713$

$1822$

$196$

$2023$

$2123$

$2210$

$2313$

$2417$

$2513$

$2618$

$2719$

$2820$

$2921$

$3022$