# Probability and Statistics Lecture 9

(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

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