Two Samples Are Random and Independent $\mu _ { 1 } > \mu _ { 2 } . \text { Use } \alpha = 0.05 \text {. }$

question 105

Multiple Choice

Two samples are random and independent. Find the P-value used to test the claim that $\mu _ { 1 } > \mu _ { 2 } . \text { Use } \alpha = 0.05 \text {. }$ Population statistics: $\sigma _ { 1 } = 40 \text { and } \sigma _ { 2 } = 24$ Sample statistics: $\overline { \mathrm { x } } 1 = 615 , \mathrm { n } _ { 1 } = 100 \text { and } \bar { x } _ { 2 } = 600 , \mathrm { n } _ { 2 } = 125$

• A)0.0005
• B)0.0505
• C)0.1015
• D)0.5105

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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.