For the following situation, find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution and compare them with the mean and standard deviation of the population.

The word counts of five essays are 503, 629, 549, 605, and 573. Use a sample size of 2.

**a**. What is the mean of the population is?.

**b.** What is the standard deviation of the population is?.

**c.** Identify all samples of size 2 with the correct accompanying means.

**d**. What is the mean of the sampling distribution is?.

**e**. What is the standard deviation of the sampling distribution is?.

**f**. What is the comparison of the population and sampling distribution