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\begin{flushright}
Name \underline{\hspace{60mm}} \\ 
$\,$ \\
Student Number \underline{\hspace{60mm}}
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\begin{center}   
{\Large \textbf{STA 442/2101 F 2012 Quiz 9}}\\
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\end{center}

In your analysis of the Chick Feed data, Data, you found a 95\% confidence interval for the difference between the expected weight for chicks fed horsebean, and the average of the other expected values. 
        \begin{enumerate}
            \item (1 Point) Give the upper and lower confidence limits. Your answer is a pair of numbers.

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            \item (1 Point) Suppose you wanted to test whether the expected weight for chicks fed horsebean was different from the average of the other expected weights. State the null hypothesis in terms of $\mu_j$ values. Use the alphabetical order of the feeds as they appear on your SAS list file. 

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            \item (2 Points) From your confidence interval, you can tell that you would reject the null hypothesis at $\alpha=0.05$ with an ordinary (not Scheff\'e) $t$-test or $F$-test. How can you tell?

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            \item (1 Point) You did the $F$-test comparing the mean weight of the chicks fed horsebean to the average of the other mean weights. What is the value of the $F$ statistic? The answer is a number from your printout. If all you did was a $t$-test, please square it using your calculator.

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            \item (1 Point) Suppose you want to know whether the last $F$-test would reject $H_0$ \emph{as a Scheff\'e follow-up} to the over-all one-factor analysis of variance. What is the Scheff\'e critical value? The answer is a number from your printout. 

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            \item (1 Point) Do you reject $H_0$ at $\alpha=0.05$ by the Scheff\'e test? Answer Yes or No.

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            \item (3 Points) In plain, non-statistical language, what do you conclude from the Scheff\'e test?
        \end{enumerate}

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\begin{center}\textbf{Please attach your log file and your list file.} Make sure your name is written on both files.

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\noindent
\textbf{You do not need to circle any numbers on the printout.}\end{center}


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% Final: Need tests of interaction, equal slopes etc.