Question
Find $\chi_{\alpha / 2}^2$ and $\chi_{(1-\alpha / 2)}^2$ from Table IV, Appendix D, for each of the following:a. $n=10, \alpha=.05$b. $n=20, \alpha=.05$c. $n=50, \alpha=.01$
Step 1
- $\chi_{\alpha / 2}^2$ and $\chi_{(1-\alpha / 2)}^2$ refer to the critical values of the chi-square distribution. - $n$ is the degrees of freedom, which is typically one less than the sample size in many statistical tests. - $\alpha$ is the significance level, Show more…
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Use Table IV, Appendix B, or statistical software to find $\chi_{\alpha / 2}^{2}$ and $\chi_{1-\alpha / 2}^{2}$ for each of the following: a. $n=10, \alpha=.05$ b. $n=20, \alpha=.05$ c. $n=50, \alpha=.01$
Using Table $\mathrm{G},$ find the values for $\chi_{\text {left }}^{2}$ and $\chi_{\text {right }}^{2}$ a. $\alpha=0.05, n=12$ b. $\alpha=0.10, n=20$ c. $\alpha=0.05, n=27$ d. $\alpha=0.01, n=6$ e. $\alpha=0.10, n=41$
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Confidence Intervals for Variances and Standard Deviations
Using Table G, find the values for $\chi_{\text {left }}^{2}$ and $\chi_{\text {hight }}^{2}$ $$ \begin{array}{l}{\text { a. } \alpha=0.05, n=12} \\ {\text { b. } \alpha=0.10, n=20} \\ {\text { c. } \alpha=0.05, n=27} \\ {\text { d. } \alpha=0.01, n=6} \\ {\text { e. } \alpha=0.10, n=41}\end{array} $$
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