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 n  increases, the shape of the curve approaches the standard deviation.