Question

Which of the following statements reflects a property of the t distribution?
(A) It ranges from -∞ to +∞
(B) Its mean is the average of X
(C) It ranges from 0 to +∞
(D) It does not vary with the change in degrees of freedom
Choose the correct answer from the options given below:

• (A) and (B) only
• (B) and (C) only
• (C) and (D) only
• (A) and (C) only

Hint:

The t-distribution has a mean of zero and is symmetric about the mean.

Answer 1

The Correct Option is D

The t-distribution has the following properties:
- (A) It ranges from -∞ to +∞. 
- (C) It ranges from 0 to +∞. 
The range of the t-distribution extends from negative infinity to positive infinity, and it is symmetric about 0. 
Thus, the correct answer is (d).