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When a Great Many Simple Random Samples of Size N

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When a great many simple random samples of size n are drawn from a population that is normally distributed,the sampling distribution of the sample mean is normal regardless of the sample size n.


Definitions:

Diversity of Citizenship

A basis for federal court jurisdiction when parties in a lawsuit are citizens of different states or a foreign country, allowing for disputes to be heard in federal court.

Citizens

Members of a state or nation who are legally recognized and entitled to its protection and to political rights.

Different States

Variations across U.S. states or countries, particularly concerning laws, regulations, and cultural practices.

Diversity of Citizenship

A legal principle allowing the federal courts in the United States to hear cases where the parties are citizens of different states or a foreign country.

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