The accompanying data file shows the monthly closing stock price (in \$) for a firm over the past six months. a. Calculate the sample mean and the sample standard deviation. Note: Round final answers to 2 decimal places. b. Calculate the 99% confidence interval for the mean stock price of the firm assuming that the stock price is normally distributed. Note: Round final answers to 2 decimal places. \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{ H9 } & \multicolumn{2}{|l|}{ X V } & \multirow[b]{2}{*}{D} & \multirow[b]{2}{*}{E} \\ \hline 1 & A & B & C & & \\ \hline 1 & Stock Price & & & & \\ \hline 2 & 130 & & & & \\ \hline 3 & 135 & & & & \\ \hline 4 & 139 & & & & \\ \hline 5 & 138 & & & & \\ \hline 6 & 142 & & & & \\ \hline 7 & 132 & & & & \\ \hline \multicolumn{6}{|l|}{8} \\ \hline \multicolumn{6}{|c|}{9} \\ \hline \multicolumn{6}{|l|}{10} \\ \hline \multicolumn{6}{|c|}{11} \\ \hline \multicolumn{6}{|c|}{12} \\ \hline \multicolumn{6}{|l|}{13} \\ \hline \multicolumn{6}{|c|}{14} \\ \hline \multicolumn{6}{|l|}{15} \\ \hline \multicolumn{6}{|c|}{16} \\ \hline \multicolumn{6}{|l|}{17} \\ \hline \multicolumn{6}{|l|}{18} \\ \hline \multicolumn{6}{|l|}{19} \\ \hline & ck_Price & + & & \\ \hline \end{tabular} The accompanying data file shows the monthly closing stock price (in \$) for a firm over the past six months. a. Calculate the sample mean and the sample standard deviation. Note: Round final answers to 2 decimal places. b. Calculate the 99% confidence interval for the mean stock price of the firm assuming that the stock price is normally distributed. Note: Round final answers to 2 decimal places. \begin{tabular}{|c|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{ H9 } & \multicolumn{2}{|l|}{ X V } & \multirow[b]{2}{*}{D} & \multirow[b]{2}{*}{E} \\ \hline 1 & A & B & C & & \\ \hline 1 & Stock Price & & & & \\ \hline 2 & 130 & & & & \\ \hline 3 & 135 & & & & \\ \hline 4 & 139 & & & & \\ \hline 5 & 138 & & & & \\ \hline 6 & 142 & & & & \\ \hline 7 & 132 & & & & \\ \hline \multicolumn{6}{|l|}{8} \\ \hline \multicolumn{6}{|c|}{9} \\ \hline \multicolumn{6}{|l|}{10} \\ \hline \multicolumn{6}{|c|}{11} \\ \hline \multicolumn{6}{|c|}{12} \\ \hline \multicolumn{6}{|l|}{13} \\ \hline \multicolumn{6}{|c|}{14} \\ \hline \multicolumn{6}{|l|}{15} \\ \hline \multicolumn{6}{|c|}{16} \\ \hline \multicolumn{6}{|l|}{17} \\ \hline \multicolumn{6}{|l|}{18} \\ \hline \multicolumn{6}{|l|}{19} \\ \hline & ck_Price & + & & \\ \hline \end{tabular}