91Ó°ÊÓ

Find the tabled values of \(q_{\alpha}(k, d f)\) using the information given. $$ \alpha=.05, k=3, d f=9 $$

Find the tabled values of \(q_{\alpha}(k, d f)\) using the information given. $$ \alpha=.01, k=4, d f=8 $$

Basic Definitions Define the terms given. Factor

Use the information to construct an ANOVA table showing the sources of variation and their respective degrees of freedom. A randomized block design used to compare the means of three treatments within five blocks.

Construct an ANOVA table for these one-way classifications. Provide a formal test of \(H_{0}: \mu_{1}=\mu_{2}=\ldots=\mu_{k}\) including the rejection region with \(\alpha=.05 .\) Bound the \(p\) -value for the test and state your conclusions. $$ \begin{array}{ccc} \hline \text { Technique } 1 & \text { Technique } 2 & \text { Technique } 3 \\\ \hline 13 & 18 & 17 \\ 17 & 18 & 24 \\ 15 & 15 & 23 \\ 16 & 18 & 20 \\ \hline \end{array} $$

Find the tabled values of \(q_{\alpha}(k, d f)\) using the information given. $$ \alpha=.01, k=6, d f=24 $$

Find the tabled values of \(q_{\alpha}(k, d f)\) using the information given. $$ \alpha=.05, k=4, d f=12 $$

Find a confidence interval estimate for \(\mu_{1}\) and for the difference \(\mu_{1}-\mu_{2}\) using the information given. Refer to Exercise \(2 . \mathrm{MSE}=6.67\) with 20 degrees of freedom, \(\bar{x}_{1}=88.0\) and \(\bar{x}_{2}=83.9,90 \%\) confidence.

Find the tabled values of \(q_{\alpha}(k, d f)\) using the information given. $$ \alpha=.01, k=3, d f=15 $$

Test for a significant difference in the treatment and block means using \(\alpha=.01 .\) Bound the \(p\) -value for the test of equality of treatment means. If a difference exists among the treatment means, use Tukey's test with \(\alpha=.01\) to identify where the differences lie. Summarize your results. Answer the testing and estimation questions for Exercise \(5 .\)