The weight percent of silicon in six different rock samples, each containing different amounts of silicon, was measured by two different methods. The results are given in the table. \begin{tabular}{|CC|C|} \hline Sample & Method A Si wt% & Method B Si wt\% \hline 1 & $11.570$ & $11.500$ \hline 2 & $15.380$ & $15.300$ \\ \hline 3 & $17.950$ & $17.850$ W \hline 4 & $22.840$ & $22.810$ \hline 5 & $25.110$ & $25.150$ \hline 6 & $27.070$ & $27.040$ \hline \end{tabular) Determine $t_{\text {calc }}$. $$ t_{\mathrm{calc}}= $$ Determine $t_{\text {table }}$ at the $95 %$ confidence level. A list of $t$ values can be found in the Student's $t$ table. $t_{\mathrm{table}}=2.57$ Are these methods significantly different at the $95 %$ confidence level? The methods are not significantly different at the $95 %$ confidence level. The methods are significantly different at the $95 %$ confidence level. CS.Vs. 1315