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Test the Hypothesis That σ1σ2 at the α=0.05\sigma _ { 1 } \neq \sigma _ { 2 } \text { at the } \alpha = 0.05

Question 117

Multiple Choice

Test the hypothesis that σ1σ2 at the α=0.05\sigma _ { 1 } \neq \sigma _ { 2 } \text { at the } \alpha = 0.05 level of significance for the given sample data.
 Population 1  Population 2 n1613 s20.722.9\begin{array} { c | c c } & \text { Population 1 } & \text { Population 2 } \\\hline \mathrm { n } & 16 & 13 \\\mathrm {~s} & 20.7 & 22.9\end{array}


A) T́est statistic: F=0.82 . Critical values =0.338,3.18 . Do not reject H0
B) Test statistic: F=0.82 . Critical values =0.314,3.18 . Do not reject H0
C) Test statistic: F=0.82 . Critical values =0.338,3.18 . Reject H0
D) Test statistic: F=0.82 . Critical values =0.403,2.62 . Reject H0 .

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