In a shudy, researchere 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 13 adolescerts with aicohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 0.02 cm An analysis of the sample data revealed that the hippocampal volume is approvimately normal with no outiers and x8.01 cm and s00 cm. Conduct the appropriate test at the a001 level of significance State the nut and alternative hypotheses Ho H (Type integers or decimals. Do not round.) Identity the t-statistic. 6- (Round to two decimal places as needed.) Identily the P.value. Pvalue (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. Fail to reject the nul hypothesis. There is suficient evidence to claim that the mean hippocampal volume is cm less than

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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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 13 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 outiers
and x8.01 cm and s 0.8 cm. Conduct the apropriate test at the g=0.01 level of significance.
State the nul and alternative hypotheses.
Ho =
H
(Type integers or decimals. Do not round.)
Identity the t-statistic.
th = (Round to two decimal places as needed.)
Identify the P.value.
P-value = (Round to three decimal places as needed.)
Make a conclusion regarding the hypothesis.
Fail to reject the null hypothesis. There is sufficient evidence to claim that the mean hippocampal volume is less than
cm
art
ng
O Time Remaining: 01:37:33
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36
* LO
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 13 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 outiers and x8.01 cm and s 0.8 cm. Conduct the apropriate test at the g=0.01 level of significance. State the nul and alternative hypotheses. Ho = H (Type integers or decimals. Do not round.) Identity the t-statistic. th = (Round to two decimal places as needed.) Identify the P.value. P-value = (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. Fail to reject the null hypothesis. There is sufficient evidence to claim that the mean hippocampal volume is less than cm art ng O Time Remaining: 01:37:33 Next MacBook Pro ese %23 2 3 4 Q E R T tab A S D F H caps lock C V shift In 36 * LO
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