A statistician wants to see the relationship between the t-distribution and the standard normal distribution.

The standard normal distribution is a normal distribution that has the parameters of the mean = 0 and the standard deviation = 1. The t-distribution is said to approximate the standard normal distribution as the number of degrees of freedom of the t-distribution increases.

- Open the Distribution Plot: Two Distributions dialog box.
- Mac:
- PC:

- From Distribution, select t.
- In Degrees of freedom, enter
`1`. - From Distribution, select Normal.
- In Mean, enter
`0`. In Standard deviation, enter`1`. - Click OK.
- Repeat steps 1–6, but in step #3, specify the t-distribution to have 30 degrees of freedom to create the second graph.

With 1 degree of freedom, the t-distribution is similar in shape to the standard normal distribution; however, the t-distribution has larger tails. With 30 degrees of freedom, the t-distribution is approximately the same as the standard normal distribution.