\documentclass[11pt]{article} %\usepackage{amsbsy} % for \boldsymbol and \pmb %\usepackage{graphicx} % To include pdf files! \usepackage{amsmath} \usepackage{amsbsy} \usepackage{amsfonts} %\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue, citecolor=blue, urlcolor=blue]{hyperref} % For links \usepackage{fullpage} % Good for US Letter paper \topmargin=-0.75in \textheight=9.5in \usepackage{fancyhdr} \renewcommand{\headrulewidth}{0pt} % Otherwise there's a rule under the header \setlength{\headheight}{15.2pt} \fancyhf{} % \pagestyle{fancy} \cfoot{Page \thepage {} of 2} \pagestyle{empty} % No page numbers \begin{document} \enlargethispage*{1000 pt} \begin{flushright} Name \underline{\hspace{60mm}} \\ $\,$ \\ Student Number \underline{\hspace{60mm}} \end{flushright} \vspace{5mm} \begin{center} {\Large \textbf{STA 441s 2024 Quiz 7}}\\ \vspace{3 mm} \end{center} \begin{enumerate} \item (4 points) \label{sales} In your analysis of the Sales Data, you fit a model with \emph{unequal} slopes. You tested whether the slope of the line for software package three (yes,~3) is significantly different from zero at the 0.05 level. Fill in the table below. \begin{center} \begin{tabular}{|c|c|c|c|} \hline $t$, $\chi^2$ or $F$ Statistic & ~~~~~$p$-value~~~~~ & Reject $H_0$? & Statistically Significant? \\ (a number) & (a number or range) & (Yes or No) & (Yes or No) \\ \hline & & & \\ & & & \\ \hline \end{tabular} \end{center} \vspace{1mm} On your printout, circle the test statistic and write ``Question~\ref{sales}" beside it. \item \label{diversity} In your analysis of the Diversity data, you arrived at a model with four explanatory variables, each of which was significantly related to job satisfaction when controlling for the other ones. This was based on the exploratory data. \begin{enumerate} \item (1 point) What were the four variables? \vspace{20mm} \item (1 point) You then tested these four variables on the replication sample, with a Bonferroni correction. What $p$-value is necessary for statistical significance at the \emph{joint} 0.05 level? The answer is a number between zero and one. \vspace{10mm} \item (2 points) Please fill in the table below.\vspace{1mm} \begin{tabular}{|c|c|c|c|} \hline & $t$ or $F$ Statistic & Uncorrected $p$-value & Significant with Bonferroni \\ ~~~~~~~~~Variable~~~~~~~ & (a number) & (a number or range) & Correction? (Yes or No) \\ \hline & & & \\ & & & \\ \hline & & & \\ & & & \\ \hline & & & \\ & & & \\ \hline & & & \\ & & & \\ \hline \end{tabular} \vspace{1mm} On your printout, circle the test statistics and $p$-values. Write ``Question~\ref{diversity}" beside them. \item (2 points) In plain, non-statistical language, what do you conclude about visible minority status and job satisfaction? Base your conclusions on what replicated, but do not mention the exploration-replication strategy. \end{enumerate} % End of Diversity as we know it. \end{enumerate} % End of all questions \end{document}