Explain why thet-distribution has less spread as the number of degrees of freedom increases.

Choose the correct answer below.

A.

Thet-distribution has less spread as the degrees of freedom increasebecause, as nincreases, s becomes closer to by the law of large numbers.

B.

Thet-distribution has less spread as the degrees of freedom increase because the variability introduced into thet-statistic becomes greater as n increases.

C.

Thet-distribution has less spread as the degrees of freedom increasebecause, as nincreases, less information is known about by the law of large numbers.

D.

Thet-distribution has less spread as the degrees of freedom increasebecause, for large values ofn, n30, thet-distribution and the normal distribution are the same.