This unit will talk about sampling distributions of the sample mean and the sample proportion. When we calculate the mean and the standard deviation for the population data, we know it is constant. However, when we calculate the mean and standard deviation for the sample data, it is a random variable. Since a random variable has a probability distribution, the concept of probability distribution will be extended for the mean, standard deviation, mode, and so forth...

Study this unit very well since it will help you better understand inferential statistics.

Population distribution

Learn to find the probability distribution using all elements of a population.

Sampling distribution

Learn to find the probability distribution of the sample mean using a samples of the population.

Sampling and nonsampling errors

Learn the difference between sampling error and nonsampling error

Mean of the sampling distribution of x̄

Learn to calculate the mean of all possible sample means

Unbiased estimator

Learn when the mean of a sample statistic is an unbiased estimator

Standard deviation of the sampling distribution of x̄

Learn when and how you can find the standard deviation of the sampling distribution.

Sampling from a normally distributed population

Find out how to get the mean and standard deviation for a normally distributed population.

Central limit theorem

Find out how to get the mean and standard deviation for a population that is not normally distributed.