Which of the following is true about the t-distribution?

A. They are uni-modal and symmetric.

B. Regardless of the degrees of freedom it has fatter tails than the normal model.

C. As the degrees of freedom increase, the t-curve looks more and more like the normal.

D. All of the above.

Question

Athena Reynolds

Mathematics

21 December, 01:04

Which of the following is true about the t-distribution?

A. They are uni-modal and symmetric.

B. Regardless of the degrees of freedom it has fatter tails than the normal model.

C. As the degrees of freedom increase, the t-curve looks more and more like the normal.

D. All of the above.

+2

Answers (1)

Know the Answer?

Colby Hinton · Answer 1

D) All options are True

Step-by-step explanation:

A) t-distribution are symmetrical and uni-modal like Normal the Normal distribution.

B) Normal distribution is said to lack 'uncertainty'. Because of this, its more concentrated on values near the mean, while t-student distributions have more spread values and, as a result, fatter tails.

C) This is true as well, the higher the degrees of freedom, the less uncertainty the t-student has, and they will become as a result, more and more similar to the Normal distribution.

All options are True, so option D is the answer.

Which of the following is true about the t-distribution?A. They are uni-modal and symmetric.B. Regardless of the degrees of freedom it has fatter tails than the normal model.C. As the degrees of freedom increase, the t-curve looks more and more like the normal.D. All of the above.

Which of the following is true about the t-distribution?

A. They are uni-modal and symmetric.

B. Regardless of the degrees of freedom it has fatter tails than the normal model.

C. As the degrees of freedom increase, the t-curve looks more and more like the normal.

D. All of the above.