Properties of the t-Distribution

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As illustrated above, the t-distribution has many properties which differentiate it from the standard normal or z-distribution.

• The distribution shares the bell curve of the z, but reflects the variablility that is inherent with smaller sample sizes.

• The shape of the t-distribution is dependent on the sample size n .

• The standard deviation is greater than 1.

• As the sample size n  increases, the shape of the curve approaches the standard deviation.

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