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 23 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 8.73 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.07 cm³ and s=0.7 cm³. Conduct the appropriate test at the a= 0.10 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho: HV H₁ H V cm (Type integers or decimals. Do not round.) cm II

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In a study, researchers aimed to assess the impact of alcohol on the hippocampal region of the brain, known for long-term memory storage, in adolescents. They randomly selected 23 adolescents with alcohol use disorders to evaluate if their hippocampal volumes were less than the standard volume of 8.73 cm³. 

The analysis of the sample data showed that the hippocampal volume is approximately normal, with no outliers, and a mean (\( \bar{x} \)) of 8.07 cm³ and a standard deviation (s) of 0.7 cm³. Researchers are to conduct the test at the \(\alpha = 0.10\) level of significance.

[An icon is mentioned to view the table of critical t-values, indicating a reference for test statistics.]

The task includes stating the null and alternative hypotheses:

\[ H_0: \mu = \, \text{__} \, \text{cm}^3 \]

\[ H_1: \mu = \, \text{__} \, \text{cm}^3 \]

(Note: Blanks are provided to fill in with values. Users should input integers or decimals and not round them.)
Transcribed Image Text:In a study, researchers aimed to assess the impact of alcohol on the hippocampal region of the brain, known for long-term memory storage, in adolescents. They randomly selected 23 adolescents with alcohol use disorders to evaluate if their hippocampal volumes were less than the standard volume of 8.73 cm³. The analysis of the sample data showed that the hippocampal volume is approximately normal, with no outliers, and a mean (\( \bar{x} \)) of 8.07 cm³ and a standard deviation (s) of 0.7 cm³. Researchers are to conduct the test at the \(\alpha = 0.10\) level of significance. [An icon is mentioned to view the table of critical t-values, indicating a reference for test statistics.] The task includes stating the null and alternative hypotheses: \[ H_0: \mu = \, \text{__} \, \text{cm}^3 \] \[ H_1: \mu = \, \text{__} \, \text{cm}^3 \] (Note: Blanks are provided to fill in with values. Users should input integers or decimals and not round them.)
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