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College Dean a College Dean Would Like to Estimate a Population

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College Dean
A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200. ​ ​
-{College Dean Narrative} What sample size should be used if the standard deviation is changed to 50?


Definitions:

Physiological Need

Basic physical requirements for human survival, such as air, water, food, shelter, and sleep. These needs are the first level in Maslow's hierarchy of needs.

Basic Bodily Requirement

Fundamental needs such as food, water, and shelter that are essential for survival.

Complex Behavior

Actions or conduct that involve multiple factors, including cognitive, social, and emotional components, making them more sophisticated than simple reflexes.

Homeostasis

The process by which living organisms regulate their internal environment to maintain stable, life-supporting conditions.

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