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The T Distribution Allows the Calculation of Confidence Intervals for Means

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The t distribution allows the calculation of confidence intervals for means for small samples when the population variance is not known,regardless of the shape of the distribution in the population.


Definitions:

Population Standard Deviation

A measure that quantifies the amount of variation or dispersion of a set of values in a population.

Standard Error

The standard deviation of the sampling distribution of a statistic, most commonly of the mean, used to estimate the accuracy of sample mean as an approximation of the population mean.

Sample Size

The number of observations or data points used in a statistical sample from a larger population.

Population Standard Deviation

A statistical measure that quantifies the amount of variance or dispersion in a set of data points across an entire population.

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