A Company Sells Eggs in Boxes with 12 Cartons and 12

Multiple Choice

A company sells eggs in boxes with 12 cartons and 12 eggs in each carton, thus there are 144 eggs in each box.The organization wants to construct a P-chart to track the proportion of broken eggs in each sample.If the company used one box of eggs in each sample in the dataset, what would be the centerline, upper control limit(UCL) , and lower control limit(LCL) for the appropriate P-chart? (Use z = 3.) Choose the closest answer.
$$\begin{array} { | c c | c c | c c | } \hline \text { Sample } & \text { Eggs } & \text { Sample } & \text { Eggs } & \text { Sample } & \text { Eggs } \\\hline \mathbf { 1 } & 3 & \mathbf { 8 } & 6 & \mathbf { 1 5 } & 5 \\\mathbf { 2 } & 5 & \mathbf { 9 } & 4 & \mathbf { 1 6 } & 0 \\\mathbf { 3 } & 3 & \mathbf { 1 0 } & 9 & \mathbf { 1 7 } & 2 \\\mathbf { 4 } & 4 & \mathbf { 1 1 } & 2 & \mathbf { 1 8 } & 6 \\\mathbf { 5 } & 2 & \mathbf { 1 2 } & 6 & \mathbf { 1 9 } & 2 \\\mathbf { 6 } & 4 & \mathbf { 1 3 } & 5 & \mathbf { 2 0 } & 1 \\ \mathbf { 7 } & 2 & \mathbf { 1 4 } & 1 & \overline{\mathbf { TOTAL }} & \overline{\mathbf { 7 2 }} \\\hline\end{array}$$

A) Centerline = 0.50, UCL = 0.625, LCL = 0.375
B) Centerline = 0.025, UCL = 0.64, LCL = 0
C) Centerline = 0.30, UCL = 0.70, LCL = 0
D) Centerline = 0.083, UCL = 0.152, LCL = 0.014