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Construct the Confidence Interval for the Difference μ1μ2\mu _ { 1 } - \mu _ { 2 }

question 24

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Construct the confidence interval for the difference μ1μ2\mu _ { 1 } - \mu _ { 2 } for the given level and values of xˉ1,xˉ2,s1,s2,n1, and n2\bar { x } _ { 1 } , \bar { x } _ { 2 } , s _ { 1 } , s _ { 2 } , n _ { 1 } , \text { and } n _ { 2 }
Level 90% , xˉ1=91.6,xˉ2=79.2,s1=7.1,s2=7.3,n1=15, and n2=11\bar { x } _ { 1 } = 91.6 , \bar { x } _ { 2 } = 79.2 , s _ { 1 } = 7.1 , s _ { 2 } = 7.3 , n _ { 1 } = 15 \text {, and } n _ { 2 } = 11

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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.

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