Which of the following is a difference between the t-distribution and the standard normal distribution?
A) The t-distribution cannot be calculated without a known standard deviation, while the standard normal distributions can be.
B) The standard normal distribution's confidence levels are wider than those of the t-distribution.
C) The t-distribution has a larger variance than the standard normal distribution.
D) The standard normal distribution is dependent on parameters like degrees of freedom, while t- distribution is not.

Question

Quizplus · Accepted Answer

The t-distribution tends to have a larger variance than the standard normal distribution, especially with smaller sample sizes, because it accounts for the additional uncertainty introduced when the population standard deviation is unknown and is estimated from the sample.

Which of the Following Is a Difference Between the T-Distribution