Which of the following correctly describes Student's t distribution?
A) It is a sampling distribution for a random variable, t, derived from a normally distributed population.
B) It is single-peaked above the random variable's mean, median, and mode of 1.
C) It is always skewed to the right.
D) None of these.
E) All of these.

Question

Quizplus · Accepted Answer

The Student's t distribution is a sampling distribution for a random variable, t, that is derived from a normally distributed population. The distribution is used for hypothesis testing and confidence interval estimation when the population standard deviation is unknown and the sample size is small. Option B is incorrect because the peak of the distribution depends on the degrees of freedom and can be above or below 1. Option C is incorrect because the distribution can be symmetric or skewed to the left or right depending on the degrees of freedom.

Which of the Following Correctly Describes Student's T Distribution