The t_dfdistribution is similar to the z distribution because ________. A) as the degrees of freedom go to infinity, the t distribution converges to the z distribution, but both do not have asymptomatic tails B) both have asymptotic tails-that is, their tails become closer and closer to the horizontal axis and eventually cross the axis C) as the degrees of freedom go to infinity, the t distribution converges to the z distribution and both have asymptotic tails-that is, their tails become closer and closer to the horizontal axis but never touch it D) Neither as the degrees of freedom go to infinity, the t distribution converges to the z distribution nor both have asymptotic tails-that is, their tails become closer and closer to the horizontal axis but never touch it

Question

Quizplus · Accepted Answer

As the degrees of freedom increase, the t distribution becomes closer and closer to the standard normal z distribution. Both the t and z distributions have asymptotic tails, which means their tails become closer and closer to the horizontal axis but never touch it. Therefore, option C is the best choice.

The Tdf distribution Is Similar to the Z Distribution Because

The T_dfdistribution Is Similar to the Z Distribution Because