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Standard Normal Distribution

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Presentation on theme: "Standard Normal Distribution"— Presentation transcript:

1 Standard Normal Distribution
Symmetric about peak at mean Mean = µ and Standard deviation = σ Standard Normal with µ = 0 and σ = 1 Symmetric about peak at 0 Stretches from about -3 to 3

2 Standardization: Converting a Normal into the Standard Normal
If X is a normal random variable with Mean = µ and Standard deviation = σ let What is the distribution of S? Explain

3 Standardization and the Central Limit Theorem
CLT says that has mean and standard deviation and standard deviation Thus the standardized sample mean has the standard normal distribution

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