The sample average is a random variable and
A)is a single number and as a result cannot have a distribution.
B)has a probability distribution called its sampling distribution.
C)has a probability distribution called the standard normal distribution.
D)has a probability distribution that is the same as for the Y1,... ,Yn i.i.d.variables.

Question

Quizplus · Accepted Answer

The sample average is calculated by taking the sum of the values in a sample and dividing by the sample size, which means it is a function of the random variables Y1,... ,Yn. Therefore, it is also a random variable itself. The distribution of this random variable is called the sampling distribution, which describes the distribution of all possible sample means of size n taken from a population with a certain mean and variance. It is important to note that the sampling distribution is different from the distribution of the individual Y1,... ,Yn variables.

The Sample Average Is a Random Variable and