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 cm. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x 8 08 cm and s 07 cm Conduct the appropriate test at the a 0.01 level of significance.

MATLAB: An Introduction with Applications
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Trying to figure out conclusion regarding hypothesis 

**Study on the Effect of Alcohol on the Hippocampal Region in Adolescents**

**Objective:** 
Researchers conducted a study to investigate the impact of alcohol on the hippocampal region, responsible for long-term memory storage, in adolescents. The goal was to determine if hippocampal volumes in alcoholic adolescents are significantly less than the normal volume of 9.02 cm³.

**Method:**
- Sample: 15 adolescents with alcohol use disorders.
- Data Analysis: Normal distribution assumed for hippocampal volume with no outliers.
  - Sample mean (\( \bar{X} \)): 8.08 cm³
  - Standard deviation (s): 0.7

**Hypotheses:**
- Null Hypothesis (\( H_0 \)): \( \mu = 9.02 \)
- Alternative Hypothesis (\( H_1 \)): \( \mu < 9.02 \)

**Statistical Analysis:**
- T-statistic value: \( t_0 = -5.290 \)
- P-value: 0.000

**Conclusion:**
- Decision: Reject the null hypothesis.
- Interpretation: There is sufficient evidence to claim that the mean hippocampal volume in alcoholic adolescents is less than 9.02 cm³.

This study is significant as it highlights the potential impact of alcohol use on brain development in adolescents, focusing on a critical region for memory storage. Further research and preventive measures are essential to address this issue.
Transcribed Image Text:**Study on the Effect of Alcohol on the Hippocampal Region in Adolescents** **Objective:** Researchers conducted a study to investigate the impact of alcohol on the hippocampal region, responsible for long-term memory storage, in adolescents. The goal was to determine if hippocampal volumes in alcoholic adolescents are significantly less than the normal volume of 9.02 cm³. **Method:** - Sample: 15 adolescents with alcohol use disorders. - Data Analysis: Normal distribution assumed for hippocampal volume with no outliers. - Sample mean (\( \bar{X} \)): 8.08 cm³ - Standard deviation (s): 0.7 **Hypotheses:** - Null Hypothesis (\( H_0 \)): \( \mu = 9.02 \) - Alternative Hypothesis (\( H_1 \)): \( \mu < 9.02 \) **Statistical Analysis:** - T-statistic value: \( t_0 = -5.290 \) - P-value: 0.000 **Conclusion:** - Decision: Reject the null hypothesis. - Interpretation: There is sufficient evidence to claim that the mean hippocampal volume in alcoholic adolescents is less than 9.02 cm³. This study is significant as it highlights the potential impact of alcohol use on brain development in adolescents, focusing on a critical region for memory storage. Further research and preventive measures are essential to address this issue.
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