Question

Which of the following are true or false?

a) T-distribution varies from+infinity to-infinity.
b)The variance of t distribution and the variance of normal distribution become closer and closer as the size of the sample increases.

• A. both (a) and (b) are true
• B. both (a) and (b) are false
• C. (a) is true but (b) is false
• D. (a) is false but (b) is true

Answer 1

The correct option is A both (a) and (b) are true

Both (a) and (b) statements regarding students t-distribution is correct i.e. its value varies from +infinity to-infinity and the variance of t distribution and the variance of normal distribution become closer and closer as the sample size increases and also the variance of t distribution is always greater than 1.