Question

I. a simple random sample assumes that each item or person in the population has an equal chance of being included. ii. we can expect some difference between sample statistics and the corresponding population parameters. this difference is called the sampling error. iii. a sampling distribution of the means is a probability distribution consisting of a list of all possible sample means of a given sample size selected from a population and the probability of occurrence associated with each sample mean.

Answer 1

A sampling distribution is a probability distribution that represents the distribution of a statistic calculated from different random samples of the same population. The sampling distribution of the mean approaches a normal distribution as the sample size increases.

Step-by-step explanation:

The subject of this question is Mathematics. The concept being discussed is sampling distribution.

A sampling distribution is a probability distribution that represents the distribution of a statistic (such as mean, proportion, or standard deviation) calculated from different random samples of the same population. It shows the range of possible values that the statistic can take and the probability associated with each value.

The sampling distribution of the mean is particularly important. It is based on the assumption of a simple random sample, where every item or person in the population has an equal chance of being included. As the sample size increases, the sampling distribution of the mean approaches a normal distribution.