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Comparison of Means Focuses on the Difference Between Two Population

question 26

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Comparison of means focuses on the difference between two population or treatment means, μ1 − μ2. When testing the hypothesis, H0 : μ1 − μ2 = 0, there are three possible alternative hypotheses.
a) Using correct statistical notation, list these three alternative hypotheses.
b) For each alternative hypothesis in part (a), give an example of a situation from your own experience or your reading where one might use that alternative hypothesis. Be sure to clearly specify a context, define your variables, and state the null and alternative hypothesis.


Definitions:

Passivity

A behavior characteristic where an individual tends to accept or allow what happens without active response or resistance.

Social Skills

The abilities utilized to communicate, interact, and form relationships with others effectively.

Self-Esteem

A person's personal assessment of their own value or importance.

Neat

Typically refers to something that is clean, tidy, or orderly in appearance or arrangement.

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