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 cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.02 cm3 and s=0.7 cm3. Conduct the appropriate test at the α=0.01 level of significance. Identify the​ t-statistic. t0=_____? ​(Round to two decimal places as​ needed.)   Identify the​ P-value. ​P-value=____? ​(Round to three decimal places as​ needed.)   State the null and alternative hypotheses.

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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 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 cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.02 cm3 and s=0.7 cm3. Conduct the appropriate test at the α=0.01 level of significance.

Identify the​ t-statistic.
t0=_____?
​(Round to two decimal places as​ needed.)
 
Identify the​ P-value.
​P-value=____?
​(Round to three decimal places as​ needed.)
 
State the null and alternative hypotheses.
 
 
 
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