(Last Updated On: March 20, 2020)

### Lesson Objectives – the students should be able to:

- Define Normal Distributions and Normal Distributions
- Learn the properties of Normal Distributions
- Understand The Standard Normal Table
- Find Areas Under the Standard Normal Curve
- Find probabilities in Normal Distributions
- Find values in Normal Distributions
- Find z-Scores
- Find a z-Score Given a Percentile
- Transform a z-Score to an x-Score
- Find a Specific Data Value
- Learn Sampling Distributions
- Learn The Central Limit Theorem

### LESSON OUTLINE:

- Properties of Normal Distributions
- Means and Standard Deviations
- The Standard Normal Distribution
- The Standard Normal Table
- Guidelines for Finding Areas
- Probability and Normal Distributions
- Finding z-Scores
- Finding a z-Score Given a Percentile
- Transforming a z-Score to an x-Score
- Finding a Specific Data Value
- Sampling Distributions
- Properties of Sampling Distributions
- Sampling Distribution of Sample Means
- The Central Limit Theorem
- The Mean and Standard Error
- Probability and Normal Distributions
- Probabilities of x and x
- Seatwork/Exercies
- Homework

### Probability and Statistics Lecture 9

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