Comparison of Means Focuses on the Difference Between Two Population

question 26

Essay

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.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.