Question

In: Statistics and Probability

In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the...

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.

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