In: Statistics and Probability
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
12
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=8.05
cm cubedcm3
and
sequals=0.7
cm cubedcm3.
Conduct the appropriate test at the
alphaαequals=0.01
level of significance.
State the null and alternative hypotheses.
Upper H 0H0:
muμ
▼
greater than>
equals=
not equals≠
less than<
nothing
Upper H 1H1:
muμ
▼
greater than>
equals=
not equals≠
less than<
nothing
(Type integers or decimals. Do not round.)
Identify the t-statistic.
t 0t0equals=nothing
(Round to two decimal places as needed.)
Identify the P-value.
P-valueequals=nothing
(Round to three decimal places as needed.)
Make a conclusion regarding the hypothesis.
▼
Reject
Fail to reject
the null hypothesis. There
▼
is
is not
sufficient evidence to claim that the mean hippocampal volume is
▼
greater than
equal to
less than
nothing
cm cubedcm3.
Enter your answer in each of the answer boxes.