Differences

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--- c:ma:2021:sample_questions [2021/10/07 01:17] – hkimscil
+++ c:ma:2021:sample_questions [2021/10/07 01:26] (current) – hkimscil
@@ Line 33: / Line 33: @@
 & = & \sqrt{ \frac{40}{30} + \frac{40}{30} } \\
 & = & 1.632993
+\end{eqnarray*}
+\begin{eqnarray*}
+t_\text{calculated} & = & \displaystyle \frac{\text{difference}} {\text{random error}} \\
+& = & \displaystyle \frac{\text{difference}} {\text{standard error}} \\
+& = & \displaystyle \frac{30-20} {1.632993} \\
+& = & 6.123724
 \end{eqnarray*}
+<code>
+> 2320/58
+[1] 40
+> sqrt(8/3)
+[1] 1.632993
+> 10/sqrt(8/3)
+[1] 6.123724
+> qt(0.975, 58)
+[1] 2.001717
+>
+</code>
+\begin{eqnarray*}
+t_\text{critical}(\alpha=0.05, \text{df}=58) & = & 2.001717 \\
+\end{eqnarray*}