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Both SAT and ACT Are Well-Known Placement Tests That Most

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Both SAT and ACT are well-known placement tests that most US colleges require from Prospective students to be admitted in their programs.Scores in the SAT test are Approximately normally distributed with a mean of 500 and a standard deviation of 100.
Scores in the ACT test are approximately normally distributed with a mean of 18 and a Standard deviation of 6.What would be the score in the SAT test to get the same z-score as The admission requirement of an ACT score of 27?

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Definitions:

Mindfulness Meditation

A practice of focusing one's mind on the present moment, often used as a technique to manage stress and enhance well-being.

Nonjudgmental

Pertains to an attitude or approach that is open-minded and free from rendering judgments, especially prematurely or without understanding.

Moment-to-Moment

Describes experiencing or reacting to events one instant at a time, often associated with mindfulness and present awareness.

Relative Deprivation

A sense of dissatisfaction or resentment that arises from the belief that one is worse off compared to others in a similar situation or compared to societal norms.

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