Which statement correctly compares t-distributions to the normal distribution?
I. t distributions are also mound shaped and symmetric.
II. t distributions have less spread than the normal distribution.
III. As degrees of freedom increase, the variance of t distributions becomes smaller.
A) I, II, and III
B) I only
C) II only
D) I and III only
E) I and II only

Question

Quizplus · Accepted Answer

Explanation: Statement I is correct because t-distributions are mound-shaped and symmetric. Statement III is correct because as the degrees of freedom increase, the t-distribution approaches the normal distribution, meaning its variance decreases. Statement II is incorrect because t-distributions have more spread than the normal distribution, especially with fewer degrees of freedom.

Which Statement Correctly Compares T-Distributions to the Normal Distribution