When Testing for a Difference Between the Means of a Treated

question 40

Essay

When testing for a difference between the means of a treated population and an untreated population,the computer display below is obtained.Explain what the P-value of 0.0768 means in this context. $$\begin{array} { | l | l | l | l | } \hline & \text { t-Test: Two Sample for Means } & & \\\hline 1 & & \text { Variable 1 } & \text { Variable } 2 \\\hline 2 & \text { Mean } & 65.10738 & 66.18251 \\\hline 3 & \text { Known V ariance } & 8.102938 & 10.27387 \\\hline 4 & \text { Observations } & 50 & 50 \\\hline 5 & \text { Hypothesized Mean Difference } & 0 & \\\hline 6 & \text { t } & - 1.773417 & \\\hline 7 & \text { P(T<=t) one-tail } & 0.0384 & \\\hline 8 & \text { TCritical one-tail } & 1.644853 & \\\hline 9 & \text { P(T<=t) two-tail } & 0.0768 & \\\hline 10 & \text { tCritical two-tail } & 1.959961 & \\\hline\end{array}$$

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Definitions:

Intoxication

A cluster of undesirable behavioral or psychological changes, such as slurred speech or mood changes, that may develop during or shortly after the ingestion of a substance.

Substance Use Disorder

A condition that results from the use of one or more substances leading to a clinically significant impairment or distress.

Substance Intoxication

The physiological reaction to ingested substances, including alcohol and drugs, which can impair mental and physical faculties.

Central Nervous System

The part of the nervous system consisting of the brain and spinal cord.