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:

Top-heavy Hierarchy

Describes an organizational structure with a disproportionate number of higher-level positions compared to lower-level ones, potentially leading to inefficiency.

Large Organizational Groupings

Refers to the classification or arrangement of large entities, such as corporations or institutions, into groups or categories based on shared characteristics or purposes.

Hierarchy of Needs

A psychological theory proposed by Abraham Maslow outlining a five-tier model of human needs, from basic physiological needs to self-actualization.

Short-term Tasks

Activities or projects that are designed to be completed in a relatively short period of time.