Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Inferential Statistics

Question:

t-distribution is a family of continuous probability distribution which arise when finding mean of normally distributed population. Observing the given figure, select the correct statement :

Options:

Mean of t-distribution lie between -∞ to ∞.

As the number of degree of freedom decreases; the t-distribution curve moves closer to standard normal distribution curve.

B-denotes standard normal distribution.

If degree of freedom is infinite, then t-distribution curve and normal distribution curve are exactly the same

Correct Answer:

If degree of freedom is infinite, then t-distribution curve and normal distribution curve are exactly the same

Explanation:

The correct answer is Option (4) → If degree of freedom is infinite, then t-distribution curve and normal distribution curve are exactly the same

As the degree of freedom (v) of the t-distribution approach infinity (v → ∞), the t-distribution because identical to the standard normal distribution.