**Unit 8**

Topics:

**Introduction to Sampling Distributions **link:Introduction to Sampling Distributions

- Learning Objectives

- Define inferential statistics
- Graph a probability distribution for the mean of a discrete variable
- Describe a sampling distribution in terms of “all possible outcomes”
- Describe a sampling distribution in terms of repeated sampling
- Describe the role of sampling distributions in inferential statistics
- Define the standard error of the mean

**Sampling Distribution of the Mean **link:Sampling Distribution of the Mean

- Learning Objectives

- State the mean and variance of the sampling distribution of the mean
- Compute the standard error of the mean
- State the central limit theorem

**Sampling Distribution of Difference Between Means **link:Sampling Distribution difference between means

- Learning Objectives

- State the mean and variance of the sampling distribution of the difference between means
- Compute the standard error of the difference between means
- Compute the probability of a difference between means being above a specified value

**Sampling Distribution of Pearson’s r **link:sampling distribution of r

- Learning Objectives

- State how the shape of the sampling distribution of r deviates from normality
- Transform r to z’
- Compute the standard error of z’
- Calculate the probability of obtaining an r above a specified value

**Sampling Distribution of p **link:Sampling Distribution of p

- Learning Objectives

- Compute the mean and standard deviation of the sampling distribution of p
- State the relationship between the sampling distribution of p and the normal distribution

(166)