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What Sample Size Is Needed to Estimate a Population Mean

question 82

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What sample size is needed to estimate a population mean within ±50 of the true mean value using a confidence level of 95%, if the true population variance is known to be 122,500?


Definitions:

Social Inequalities

The existence of unequal opportunities or treatment for different societal groups based on class, race, gender, age, or ethnicity.

Rawls

A philosopher known for his theory of justice which argues for the creation of a society where the least advantaged are as well off as possible.

Principles of Social Justice

Foundational guidelines aimed at ensuring equitable treatment, opportunities, and outcomes for all members of society, often addressing issues of inequality and discrimination.

Rawls

A reference to John Rawls, an influential American political philosopher known for his theories of justice and “the original position” in social contract theory.

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