Standard Normal Distribution

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The Normal Distribution

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Presentation transcript:

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

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

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