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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?

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Definitions:

Obsessive-compulsive Disorder

is a mental health disorder characterized by persistent, unwanted thoughts (obsessions) and repetitive behaviors (compulsions) as an attempt to alleviate anxiety.

Antianxiety

Pertaining to drugs or treatments that reduce or alleviate anxiety.

Antianxiety Drugs

Medications used to treat symptoms of anxiety by affecting neurotransmitter activity in the brain to induce relaxation.

Addictive

Having the quality of causing users to develop a dependency, often compelling them to repeatedly seek out and use the substance or activity.

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