Which of the following is true of the t-distribution?
A) It has narrower confidence intervals than the standard normal distribution.
B) It is only used to calculate confidence intervals where there is no known population standard deviation.
C) It converges to the standard normal distribution as degrees of freedom increase.
D) It does not require parameters such as degrees of freedom.

Question

Quizplus · Accepted Answer

The t-distribution converges to the standard normal distribution as the degrees of freedom increase, which typically happens as the sample size increases. This is because the t-distribution accounts for the added uncertainty in estimating the population standard deviation from a sample, which becomes less significant as the sample size grows.

Which of the Following Is True of the T-Distribution