The solutions to the automated test.

solutiontest.tex

\documentclass[10pt,a4paper]{article}

%% packages
\usepackage{a4wide,verbatim,Sweave,url}

%% new environments
\newenvironment{question}{\item \textbf{Problem}\newline}{}
\newenvironment{solution}{\textbf{Solution}\newline}{}
\newenvironment{answerlist}{\renewcommand{\labelenumi}{(\alph{enumi})}\begin{enumerate}}{\end{enumerate}}

%% paragraphs
\setlength{\parskip}{0.7ex plus0.1ex minus0.1ex}
\setlength{\parindent}{0em}

%% fonts: Helvetica
\renewcommand{\sfdefault}{phv}
\IfFileExists{sfmath.sty}{
  \RequirePackage{sfmath}
  \renewcommand{\rmdefault}{phv}
}{}

\newcommand{\extext}[1]{\textbf{\large #1}}
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\newcommand{\exstring}[1]{%
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}

%% new commands
\makeatletter
\newcommand{\ID}[1]{\def\@ID{#1}}
\newcommand{\Date}[1]{\def\@Date{#1}}
\ID{00001}
\Date{YYYY-MM-DD}

%% \exinput{header}

\newcommand{\myID}{\@ID}
\newcommand{\myDate}{\@Date}
\makeatother

%% headings
\markboth{\textnormal{\bf \large Statistics Test: \myID}}%
{\textnormal{\bf \large Statistics Test: \myID}}
\pagestyle{myheadings}

\begin{document}

%% title page
\thispagestyle{empty}
{\sf
\textbf{\LARGE{University of Potsdam}}

\textbf{\large{Statistics Test \myDate \hfill Exam ID \myID}}

%\vspace*{2cm}

%\begin{tabular}{p{14cm}}
%\textbf{Name:} \hrule \\[1.5cm]
%\textbf{Student ID:} \hrule \\[1.5cm]

%Declaration: This submission is my work alone; I did not consult anyone about it, and I did not use any other unfair means for obtaining the answer(s).
%\newline
%\textbf{Signature:} \hrule  \\[1.5cm]
%\end{tabular}

%\vspace*{1cm}

%% \exinput{questionnaire}
}
\newpage

\begin{enumerate}

%% \exinput{exercises}

\end{enumerate}

\end{document}