In principal,a distribution of means can be formed by
A)calculating the mean of all the possible samples of a given size and dividing it by the variance.
B)using the sample's mean and variance divided by the population's parameters.
C)randomly estimating the population variance from the various samples of the same size,and using the sample mean in place of μ.
D)randomly taking a very large number of samples from a population,each of the same size,and making a distribution of their means.

Question

Quizplus · Accepted Answer

The best way to form a distribution of means is by randomly taking a very large number of samples from a population, each of the same size, and making a distribution of their means. This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution, regardless of the shape of the population distribution. This means that we can estimate the population mean and variance using the sample mean and variance, and form a distribution of means from these sample statistics.

In Principal,a Distribution of Means Can Be Formed by