populations are normally distributed.

information against a two$-$sided hypothesis, identify the null and alternative hypotheses. Choose the correct answer below.

A$.$

$H_0$:${}_x^2={}_y^2$

$H_1$:${}_x^2{}_y^2$

C$.$

$H_0$:${}_x^2{}_y^2$

$H_1$:${}_x^2<msubsup\; id="EditorElement\_96082"><mrow><mi\; id="EditorElement\_96068"></mi></mrow><mrow\; id="EditorElement\_96074"><mi\; id="EditorElement\_96071">y</mi></mrow><mrow\; id="EditorElement\_96081"><mn\; id="EditorElement\_96078">2</mn></mrow></msubsup>$

The test statistic is $F=,.($Round to three decimal places as needed.$)$

B$.$

$H_0$:${}_x^2{}_y^2$

$H_1$:${}_x^2<msubsup\; id="EditorElement\_95837"><mrow><mi\; id="EditorElement\_95823"></mi></mrow><mrow\; id="EditorElement\_95829"><mi\; id="EditorElement\_95826">y</mi></mrow><mrow\; id="EditorElement\_95836"><mn\; id="EditorElement\_95833">2</mn></mrow></msubsup>$

D$.$

$H_0$:${}_x^2{}_y^2$

$H_1$:${}_x^2>{}_y^2$