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 14 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 = 8.06 cm and s = 0.7 cm. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Họ: u = 9.02 H:u < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. th - - 5.13 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)

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 14 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 = 8.06 cm and s= 0.7 cm. Conduct the appropriate test at the a = 0.01 level of significance.
State the null and alternative hypotheses.
Ho: H =
9.02
H1: u <
9.02
(Type integers or decimals. Do not round.)
Identify the t-statistic.
to = - 5.13 (Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
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 14 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 = 8.06 cm and s= 0.7 cm. Conduct the appropriate test at the a = 0.01 level of significance. State the null and alternative hypotheses. Ho: H = 9.02 H1: u < 9.02 (Type integers or decimals. Do not round.) Identify the t-statistic. to = - 5.13 (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)
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