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 cubedcm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with x overbarxequals=8.11 cm cubedcm3 and sequals=0.7 cm cubedcm3. Conduct the appropriate test at the alphaαequals=0.01 0.01 level of significance.   State the null and alternative hypotheses.   Upper H0​: muμ ▼   less than< equals= not equals≠ greater than> nothing Upper H1​: muμ ▼   not equals≠ equals= less than< greater than> nothing

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 cubedcm3.

An analysis of the sample data revealed that the hippocampal volume is approximately normal with

x overbarxequals=8.11 cm cubedcm3

and

sequals=0.7 cm cubedcm3.

Conduct the appropriate test at the

alphaαequals=0.01 0.01

level of significance.

 

State the null and alternative hypotheses.
 
Upper H0​:
muμ
 
less than<
equals=
not equals≠
greater than>
nothing
Upper H1​:
muμ
 
not equals≠
equals=
less than<
greater than>
nothing
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