Learning Objectives

The standard normal distribution

5-1: Understand why normal distributions are important to researchers.

5-2: Understand the main features and characteristics of normal distributions and the standard normal distribution.

5-3: Understand what distinguishes the standard normal distribution from normal distributions.

5-4: Understand the characteristics of z-scores and the two main ways z-scores may be interpreted

5-5: Calculate and interpret the area of the standard normal distribution associated with stated z-score(s). 

Applying z-scores to normal distributions

5-6: Understand reasons why the standard normal distribution is applied to a normal distribution.

5-7: Calculate and interpret z-scores created by transforming scores for a variable.

Standardizing frequency distributions

5-8: Understand reasons for standardizing frequency distributions.

5-9: Understand the main characteristics of standardized distributions.

5-10: Understand whether standardizing a frequency distribution creates a normal distribution.

5-11: Calculate and interpret standardized scores created by transforming scores for a variable.