If a population is known to be normally distributed,then it follows that the sample standard deviation must equal σ.

Name: If a population is known to be normally distributed,then it follows that the sample standard deviation must equal σ.
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While the population standard deviation is denoted by σ, the sample standard deviation is denoted by s. They are not necessarily equal, although as the sample size approaches infinity, s will approach σ.

If a Population Is Known to Be Normally Distributed,then It