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:

Diarrhea

A condition characterized by the frequent passage of loose or watery stools, often a symptom of infection or digestive issues.

Urine

A liquid waste product produced by the kidneys and excreted through the urinary tract, composed of water, salts, and urea.

Diabetes

A chronic condition characterized by high levels of sugar in the blood, due to the body's inability to produce or properly use insulin.

Head Injury

Physical trauma to the head, which can affect the scalp, skull, brain, or underlying tissues.