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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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.19 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.46 cm³ and s=0.8 cm³. Conduct the appropriate test at the a= 0.05 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho H cm3 cm³ H₁ H (Type integers or decimals. Do not round.) Identify the t-statistic. to = ▼ (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make a conclusion regarding the hypothesis. the null hypothesis. There (Type an integer or a decimal. Do not round.) ▼ sufficient evidence to claim that the mean hippocampal volume is ▼ cm3

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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.19 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.46 cm³ and s=0.8 cm³. Conduct the appropriate test at the a= 0.05 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho H cm3 cm³ H₁ H (Type integers or decimals. Do not round.) Identify the t-statistic. to = ▼ (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make a conclusion regarding the hypothesis. the null hypothesis. There (Type an integer or a decimal. Do not round.) ▼ sufficient evidence to claim that the mean hippocampal volume is ▼ cm3

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.19 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.46 cm³ and s=0.8 cm³. Conduct the appropriate test at the a=0.05 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho H cm` H₁ ▼ cm³ (Type integers or decimals. Do not round.) Identify the t-statistic. to= (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make a conclusion regarding the hypothesis. the null hypothesis. There (Type an integer or a decimal. Do not round.) 8:4 sufficient evidence to claim that the mean hippocampal volume is cm³ Next 7:52 PM 12/4/2022
Transcribed Image Text: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 26 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.19 cm³. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x = 8.46 cm³ and s=0.8 cm³. Conduct the appropriate test at the a=0.05 level of significance. Click the icon to view the table of critical t-values. State the null and alternative hypotheses. Ho H cm` H₁ ▼ cm³ (Type integers or decimals. Do not round.) Identify the t-statistic. to= (Round to two decimal places as needed.) Approximate the P-value. The P-value is in the range Make a conclusion regarding the hypothesis. the null hypothesis. There (Type an integer or a decimal. Do not round.) 8:4 sufficient evidence to claim that the mean hippocampal volume is cm³ Next 7:52 PM 12/4/2022
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