Jimenez Carter
09/23/2023 · Middle School

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 20 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 \( \bar{x}=8.14 \mathrm{~cm}^{3} \) and \( \mathrm{s}=0.7 \mathrm{~cm}^{3} \). Conduct the appropriate test at the \( \alpha=0.01 \) level of significance. State the null and alternative hypotheses. \( \mathrm{H}_{1}: \mu \mathrm{\mu} \). (Type integers or decimals. Do not round.)

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零假设(\( H_0 \)):酒精使用障碍的青少年海马体体积的平均值等于正常值,即 \( \mu = 9.02 \mathrm{~cm}^3 \)。 备择假设(\( H_1 \)):酒精使用障碍的青少年海马体体积的平均值小于正常值,即 \( \mu < 9.02 \mathrm{~cm}^3 \)。

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