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Consider the Following Results for Two Samples Randomly Taken from Two

question 149

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Consider the following results for two samples randomly taken from two populations.
 Sample A  Sample B  Sample Size 2538 Sample Mean 6660 Sample Standard Deviation 57\begin{array}{lcc}&\text { Sample A }&\text { Sample B }\\\text { Sample Size } & 25 & 38 \\\text { Sample Mean } & 66 & 60 \\\text { Sample Standard Deviation } & 5 & 7\end{array}
a. What are the degrees of freedom for the t distribution?
b. At 95% confidence, compute the margin of error.
c. Develop a 95% confidence interval for the difference between the two population means.


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.

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