## Properties of the t-Distribution

## 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
nincreases, the shape of the curve approaches the standard deviation.

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