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  • 12.6: Chapter Formula Review
    https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.06%3A_Chapter_Formula_Review
    12.1 Test of Two Variances H_{0} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}}=\delta_{0}\nonumber H_{a} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}} \neq \delta_{0}\nonumber if \delta_{0}=1 then \[H...12.1 Test of Two Variances H_{0} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}}=\delta_{0}\nonumber H_{a} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}} \neq \delta_{0}\nonumber if \delta_{0}=1 then H_{0} : \sigma_{1}^{2}=\sigma_{2}^{2}\nonumber H_{a} : \sigma_{1}^{2} \neq \sigma_{2}\nonumber Test statistic is : F_{c}=\frac{S_{1}^{2}}{S_{2}^{2}}\nonumber 12.3 The F Distribution and the F-Ratio \(S S_{\mathrm{between}}=\sum\left[\frac{\left(s_{j}\right)^{2}}{n_{j}}\right]-\frac{\left(\…
  • 12.8: Chapter Formula Review
    https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/12%3A_F_Distribution_and_One-Way_ANOVA/12.08%3A_Chapter_Formula_Review
    12.1 Test of Two Variances H_{0} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}}=\delta_{0}\nonumber H_{a} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}} \neq \delta_{0}\nonumber if \delta_{0}=1 then \[H...12.1 Test of Two Variances H_{0} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}}=\delta_{0}\nonumber H_{a} : \frac{\sigma_{1}^{2}}{\sigma_{2}^{2}} \neq \delta_{0}\nonumber if \delta_{0}=1 then H_{0} : \sigma_{1}^{2}=\sigma_{2}^{2}\nonumber H_{a} : \sigma_{1}^{2} \neq \sigma_{2}\nonumber Test statistic is : F_{c}=\frac{S_{1}^{2}}{S_{2}^{2}}\nonumber 12.3 The F Distribution and the F-Ratio \(S S_{\mathrm{between}}=\sum\left[\frac{\left(s_{j}\right)^{2}}{n_{j}}\right]-\frac{\left(\…

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