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\section{Results} \label{sec:results}
\subsection{The advantage of height}
\begin{table}[ht]
\centering
\label{tab:chi-height}
\begin{tabular}{|l|r|r|r|r|}
\hline
& \textbf{M: 168 - 188} & \textbf{M: 189 - 210} & \textbf{F: 155 - 171} & \textbf{F: 172 - 189} \\ \hline
\textbf{1 - 99} & 67 / 73 & 32 / 26 & 38 / 42 & 60 / 55 \\
\textbf{100 - 199} & 69 / 72 & 30 / 26 & 31 / 27 & 32 / 36 \\
\textbf{200 - 299} & 75 / 68 & 17 / 25 & 18 / 17 & 22 / 23 \\
\textbf{300 - 399} & 61 / 60 & 21 / 23 & 11 /12 & 17 / 16 \\
\textbf{400 - 499} & 59 / 60 & 22 / 22 & 7 / 6
& 7 / 8 \\
\hline
\end{tabular}
\caption{Observed / Expected values used for the $\chi^2$-test. The groups are divided by their rank (vertical) and, per gender, their height (horizontal).}
\end{table}
$$
\chi^2 \approx 7.697606186049128
$$
$$
df = (5-1)(4-1) = 12
$$
$$
\chi^2(7.69\dots,12) \approx 0.8082925814979871
$$
\textbf {t-test men:} T score: 1.711723, P score: 0.043815
\textbf {t-test women:} T score: 1.860241, P score: 0.032030
\subsection{The advantage of left-handedness}
\begin{table}[ht]
\centering
\label{tab:chi-hand}
\begin{tabular}{|l|l|l|l|l|l|}
\hline
& \textbf{1 - 99} & \textbf{100 - 199} & \textbf{200 - 299} & \textbf{300 - 399} & \textbf{400 - 499} \\
\hline
\textbf{L} & 22 / 21 & 23 / 18 & 17 / 15 & 6 / 12 & 8 / 10 \\
\textbf{R} & 174 / 177 & 139 / 144 & 117 / 119 &
105 / 98 & 88 / 86 \\
\hline
\end{tabular}
\caption{Observed / Expected values used for the $\chi^2$-test. The groups are divided by which hand they use (vertical) and their rank (horizontal).}
\end{table}
$$
\chi^2 \approx 6.467312944404331
$$
$$
df = (2-1)(5-1) = 4
$$
$$
\chi^2(6.46\dots,4) \approx 0.1668616190847413
$$
\textbf {t-test:} T score: 0.451694, P score: 0.325815
\section{Discussion} \label{sec:discussion}
\end{document}

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