A quality assistant is carrying out the control process for battery manufacture by checking the number of defective products with a different amount of inspection data for each sub-group as follows:

Question:

a. Calculate UCL and LCL with control limits

b. Calculate UCL and LCL with n control limits

c. Calculate UCL and LCL with control limits

d. Explain the difference between each of the control limits

\begin{tabular}{|c|c|c|c|} \hline Sample number & Sample (ni) & Defect(DiandorCi) & DefectProportionpi=Dii \\ \hline 1 & 75 & 7 & 0.0933 \\ \hline 2 & 88 & 10 & 0.1136 \\ \hline 3 & 100 & 9 & 0.0900 \\ \hline 4 & 90 & 7 & 0.0778 \\ \hline 5 & 110 & 10 & 0.0909 \\ \hline 6 & 100 & 8 & 0.0800 \\ \hline 7 & 120 & 11 & 0.0917 \\ \hline 8 & 95 & 15 & 0.1579 \\ \hline 9 & 80 & 9 & 0.1125 \\ \hline 10 & 110 & 9 & 0.0818 \\ \hline Total & 968 & 95 & \\ \hline \end{tabular}