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If a Population Is Known to Be Normally Distributed,then It xˉ\bar { x }

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If a population is known to be normally distributed,then it follows that the sample mean xˉ\bar { x } must equal the population mean μ\mu .


Definitions:

Nonresponse Error

An error that occurs in survey research when some participants do not respond, potentially biasing the results.

Survey

A method for collecting information and data about a population by asking questions to a sample of that population to extrapolate insights or conclusions about the whole.

Cluster Samples

A sampling technique where the population is divided into groups (clusters) and a random sample of these clusters is selected to represent the whole population.

Sampling Error

Sampling error describes the difference between a sample statistic used to estimate a population parameter and the actual but unknown value of the parameter.

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