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 23 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=8.16 cm3 and s=0.7 cm3. Conduct the appropriate test at the α=0.01 level of significance.

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size

Population mean

Sample mean

Standard deviation

Significance level

Generally the Null and and alternative Hypothesis are as follows

Therefore t critical Value is

Where

Therefore

From t Table

Generally the equation for Z Critical is mathematically given by

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol