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\begin{flushright}
Name \underline{\hspace{60mm}} \\ 
$\,$ \\
Student Number \underline{\hspace{60mm}}
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\begin{center}   
{\Large \textbf{STA 312 f2023 Quiz 5}}\\
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\begin{enumerate}


 \item (3 points) \label{expo1} For Question 3 of Assignment 5, you obtained the maximum likelihood estimate of the parameter $\lambda$ from an exponential distribution, \emph{by a numerical search}. Write the number in the space below. On your printout, circle the number and write ``Question~\ref{expo1}" beside it. \textbf{The code for the function definition and the numerical search must be shown.} \vspace{15mm}

 \item (2 points) \label{expo2} Still for Question 3 of Assignment 5, you calculated an estimate of the asymptotic variance of $\widehat{\lambda}$, \emph{based on a numerical search}. Write the number in the space below. On your printout, circle the number and write ``Question~\ref{expo2}" beside it. \textbf{The code for the function definition and the numerical search must be shown, as well as the number.} \vspace{15mm}

 \item (3 points) \label{lognorm1} For \textbf{Question 4} of Assignment 5 (the last question), you you analyzed numerical data from a log-normal distribution. In the space below, write the maximum likelihood estimate of the pair $(\mu,\sigma^2)$. The answer is a set of two numbers. On your printout, circle the numbers and write ``Question~\ref{lognorm1}" beside them. \textbf{The code for the function definition and the numerical search must be shown.} \vspace{15mm}

 \item (2 points) \label{lognorm2} Still for Question 4 of Assignment 5, you produced a 95\% confidence interval for $\mu$. Write the confidence interval in the space below: Just two numbers, a lower limit and an upper limit. On your printout, circle the numbers and write ``Question~\ref{lognorm2}" beside them. \textbf{The code for the numerical search and the confidence interval must be shown.} \vspace{25mm}

\end{enumerate}

\noindent
Please attach the printout(s) with your answers to the questions above. \textbf{Make sure your name and student number are written on the printout(s)}.

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