An Internet service provider $($ISP$)$ measures the proportion of peak$-$period time when a customer is likely to receive busy signals. Data on the number of busy signals received from samples of $500$ calls over a $30-$day period can be found in the table below.

$\backslash$table$[[\backslash$table$[[$Number$],[$Day$]],\backslash$table$[[$Number$],[$Nonconforming$]]],[1,22,16,37],[2,31,17,30],[3,22,18,33],[4,20,19,41],[5,24,20,36],[6,19,21,42],[7,32,22,31],[8,24,23,35],[9,22,24,33],[10,26,25,32],[11,23,26,41],[12,27,27,32],[13,19,28,39],[14,29,29,34],[15,22,30,32]]$

What is the average fraction nonconforming for the group of $30$ samples? Do not round intermediate calculations. Round your answer to three decimal places.

$$

What is the standard deviation? Do not round intermediate calculations. Round your answer to three decimal places.

Compute the control limits for a p$-$chart. Do not round intermediate calculations. Round your answers to three decimal places.

UCLp: $$

$LC{L}_p$ :

Choose the correct graph for the p$-$Chart.

The correct graph is

A$.$

Attribute $($p$)$ Chart

$"667"$