Use the Computer Display to Solve the Problem

question 97

Essay

Use the computer display to solve the problem.
-When testing for a difference between the means of a treatment group and a placebo group, the computer display below is obtained. Using a 0.05 significance level, is there sufficient evidence to support the claim that the treatment group (variable 1)comes from a population with a mean that is different from the mean for the placebo population? Explain. $$\begin{array} { | l | l | l | l | } \hline & \text { t-Test: Two Sample for Means } & & \\\hline 1 & & \text { Variable 1 } & \text { Variable 2 } \\\hline 2 & \text { Mean } & 65.10738 & 66.18251 \\\hline 3 & \text { Known Variance } & 8.102938 & 10.27387 \\\hline 4 & \text { Observations } & 50 & 50 \\\hline 5 & \text { Hypothesized Mean Difference } & 0 & \\\hline 6 & \text { t } & - 1.773417 & \\\hline 7 & \text { P(T<=t) one-tail } & 0.0384 & \\\hline 8 & \text { TCritical one-tail } & 1.644853 & \\\hline 9 & \text { P(T<=t) two-tail } & 0.0768 & \\\hline 10 & \text { tCritical two-tail } & 1.959961 & \\\hline\end{array}$$

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Definitions:

American Psychological Association

A leading scientific and professional organization representing psychology in the United States, dedicated to advancing the creation, communication, and application of psychological knowledge to benefit society and improve people's lives.

Sexual Orientation

A person's emotional, romantic, or sexual attraction to individuals of a specific gender, which can include heterosexual, homosexual, bisexual, and other orientations.

Stigma

A mark of disgrace associated with a particular circumstance, quality, or person, often leading to discrimination.

Gay Child

A child who identifies as having a sexual or emotional attraction to individuals of the same gender.