When Testing the Difference Between the Means of a Treatment

question 2

Essay

When testing the difference between the means of a treatment group and a placebo group,the computer display below is obtained.Using a 0.01 significance level,is there sufficient evidence to support the claim that the treatment group (variable 1)represents a population whose mean is greater than the mean for the untreated population? Explain. $$\begin{array} { | l | l | l | l | } \hline & \text { t-Test: Two Sample for Means } & & \\\hline 1 & & \text { Variable 1 } & \text { Variable 2 } \\\hline 2 & \text { Mean } & 171.6392 & 168.7718 \\\hline 3 & \text { Known Variance } & 47.51672 & 41.08293 \\\hline 4 & \text { Observations } & 50 & 50 \\\hline 5 & \text { Hypothesized Mean Difference } & 0 & \\\hline 6 & \text { t } & 2.154057 & \\\hline 7 & \text { P(T>=t) one-tail } & 0.0158 & \\\hline 8 & \text { TCritical one-tail } & 1.644853 & \\\hline 9 & \text { P(T>=t) two-tail } & 0.0316 & \\\hline 10 & \text { tCritical two-tail } & 1.959961 & \\\hline\end{array}$$

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Definitions:

Kohlberg

A theorist known for his work in the development of moral reasoning.

Justice

The concept of moral rightness based on ethics, law, fairness, and equity that also includes the punishment of wrongs.

Ego Ideal

A component of the psyche, representing an individual's ideal self and the standards by which they measure their behavior.

Conscience

An inner feeling or voice viewed as acting as a guide to the rightness or wrongness of one's behavior.