As the degrees of freedom for the t distribution increase, which of the following distributions does it more and more closely approximate?
A) the chi-square distribution
B) the standard normal distribution
C) the normal distribution
D) the F distribution

Question

Quizplus · Accepted Answer

As the degrees of freedom for the t distribution increase, it becomes more and more similar to the standard normal distribution. This is because the t distribution approaches a normal distribution as the degrees of freedom approach infinity. Therefore, as the degrees of freedom increase, the t distribution becomes more and more similar to the standard normal distribution.

As the Degrees of Freedom for the T Distribution Increase