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Each Portion of the SAT Exam Is Designed to Be

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Each portion of the SAT exam is designed to be normally distributed such that it has a population standard deviation of 100 and a mean of 500. However, the mean has changed over the years as less selective schools began requiring the SAT, and because students later began to prepare more specifically for the exam. Construct a 90% confidence interval for the population mean from the following eight scores from the math portion, using the population standard deviation of 100: 450, 660, 760, 540, 420, 430, 640, and 580.


Definitions:

Nobles

Members of the highest social class in some societies, typically holding hereditary titles and offices.

Wealth and Status

Refers to the accumulation of valuable resources or material possessions and the social standing or prestige one holds in society, often interrelated.

Thomas Malthus

An English cleric and scholar influential in the fields of political economy and demography, best known for his theory that population growth would outstrip food supply, leading to societal constraints.

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