1.What is sampling error? Discuss how sampling error might arise within the context of an original real-world application. In what ways (if any) does changing sample size influence sampling error?

2. The focus of this week is on discussing the sampling distribution of the sample mean. Suppose that you have a distribution involving a continuous random variable x.

• Discuss how one would obtain a distribution of sample means for this continuous random variable x.Cast this discussion within the context of an original real-world example (e.g., IQ scores).

• Discuss how the mean of this distribution of sample means can be used to make informed decisions regarding the population mean.
• Discuss how the standard deviation of this distribution of sample means can be used to make informed decisions regarding the population standard deviation.

• As sample size increases, discuss how the shape of the distribution of sample means changes as well as the influence over the mean and standard deviation of this distribution.