DADM1.5 - Data Analysis for Decision Making Part I Normal...

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Data Analysis for Decision Making Part I: Normal Distribution 1
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Continuous Distribution A continuous random variable is a variable that can assume any value on a continuum (can assume an uncountable number of values) thickness of an item time required to complete a task temperature of a solution height, in inches These can potentially take on any value depending only on the ability to precisely and accurately measure 2
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Normal Distribution Bell Shaped Symmetrical Mean, Median and Mode are Equal Location is determined by the mean, μ Spread is determined by the standard deviation, σ The random variable has an infinite theoretical range: + to 3
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Normal Distribution Mean µ SD σ Characterizes a normal distribution 4
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Standard Normal Distribution Any normal distribution (with any mean and standard deviation combination) can be transformed into the standardized normal distribution (Z) Need to transform X units into Z units The standardized normal distribution ( Z ) has a mean of 0 and a standard deviation of 1 5 σ μ X Z
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Normal Probabilities – Area under the Curve 6
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