In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 15 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of $$ 9.02 \mathrm{~cm}^{3} $$. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and $$ \bar{x}=8.07 \mathrm{~cm}^{3} $$ and $$ \mathrm{s}=0.8 \mathrm{~cm}^{3} $$. Conduct the appropriate test at the $$ \alpha=0.01 $$ level of significance. State the null and alternative hypotheses. $$ \mathrm{H}_{1}: \mu \cdot \mu $$ (Type integers or decimals. Do not round.)

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Mccoy Davies · Accepted Answer

The null hypothesis ($$H_0$$) is that the hippocampal volumes in alcoholic adolescents are equal to or greater than 9.02 cm$$^3$$, and the alternative hypothesis ($$H_1$$) is that they are less than 9.02 cm$$^3$$.

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