MUST DO ALL PARTS

Problem 345409: Do not include anything other than numbers in your responses. For example, do not include comma or dollar sign in your numbers. As a rule of thumb, keep 2 decimal places for larger numbers and 3 decimal places for smaller numbers less than 1. An accounts department is concerned about the number of internal purchase forms that its users completed incorrectly. As a result they are monitoring the proportion of purchase forms that were not completed correctly. This was chosen, rather than measuring the actual number of defects, because any number of defects on a form required about the same effort to revise. The following table shows number of forms completed incorrectly "out of 200 forms" that is processed each day. Construct a control chart for the data that monitors the proportion of incorrect forms. Is the process in control?

IMPORTANT: In this problem, keep 3 decimal places in your calculations. a)Which of the following charts is appropriate? (P Chart/C Chart) b)Based on your choice on the last question, calculate "one" of the followings, P (for P chart), or C (for C chart): c)If you chose P Chart, how much is standard deviation of p (sigma_p)? (Write 0 if you are not doing P chart) d)Upper Control Limit: e)Lower Control Limit: f)Is the proportion of incorrect forms in control? (Yes/No)

\begin{tabular}{|l|l|} \hline Day & Number of Incorrect Forms \\ \hline 1 & 14 \\ \hline 2 & 13 \\ \hline 3 & 16 \\ \hline 4 & 15 \\ \hline 5 & 14 \\ \hline 6 & 13 \\ \hline 7 & 13 \\ \hline 8 & 14 \\ \hline 9 & 15 \\ \hline 10 & 12 \\ \hline Sum & 139 \\ \hline \end{tabular} \begin{tabular}{|l|l|} \hline Day & Number of Incorrect Forms \\ \hline 1 & 14 \\ \hline 2 & 13 \\ \hline 3 & 16 \\ \hline 4 & 15 \\ \hline 5 & 14 \\ \hline 6 & 13 \\ \hline 7 & 13 \\ \hline 8 & 14 \\ \hline 9 & 15 \\ \hline 10 & 12 \\ \hline Sum & 139 \\ \hline \end{tabular}