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 19 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 = 8.01 cm and s = 0.7 cm. Conduct the appropriate test at the a = 0.01 level of significance. Ho: u = 9.02 H: < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.)

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In a study, researchers aimed to measure the effect of alcohol on the hippocampal region, the part of the brain responsible for long-term memory storage, in adolescents. They randomly selected 19 adolescents with alcohol use disorders to determine if the hippocampal volumes in these individuals were less than the typical volume of 9.02 cm³. An analysis of the sample data revealed that the hippocampal volume was approximately normal with no outliers, having a mean (\(\bar{x}\)) of 8.01 cm³ and a standard deviation (s) of 0.7 cm³. The task is to conduct the appropriate test at the \(\alpha = 0.01\) level of significance.

### Hypotheses
- Null hypothesis (\(H_0\)): \(\mu = 9.02\)
- Alternative hypothesis (\(H_1\)): \(\mu < 9.02\)

(Type integers or decimals. Do not round.)

### Identify the t-statistic
- \(t_0 = \) [Round to two decimal places as needed.]
Transcribed Image Text:In a study, researchers aimed to measure the effect of alcohol on the hippocampal region, the part of the brain responsible for long-term memory storage, in adolescents. They randomly selected 19 adolescents with alcohol use disorders to determine if the hippocampal volumes in these individuals were less than the typical volume of 9.02 cm³. An analysis of the sample data revealed that the hippocampal volume was approximately normal with no outliers, having a mean (\(\bar{x}\)) of 8.01 cm³ and a standard deviation (s) of 0.7 cm³. The task is to conduct the appropriate test at the \(\alpha = 0.01\) level of significance. ### Hypotheses - Null hypothesis (\(H_0\)): \(\mu = 9.02\) - Alternative hypothesis (\(H_1\)): \(\mu < 9.02\) (Type integers or decimals. Do not round.) ### Identify the t-statistic - \(t_0 = \) [Round to two decimal places as needed.]
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