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**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

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**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

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**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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