The shape of the t distribution depends on the size of the sample because that influences the number of degrees of freedom.

Question

Quizplus · Accepted Answer

The t distribution is a family of curves that changes depending on the degrees of freedom, which are determined by the sample size. As the sample size increases, the degrees of freedom increase, and the shape of the t distribution approaches that of a normal distribution. Conversely, as sample size decreases, the degrees of freedom decrease, and the t distribution becomes more spread out with fatter tails.

The Shape of the T Distribution Depends on the Size