Class Meeting 09

# Class Meeting 09 - CHEN 3010 Applied Data Analysis Class...

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1 CHEN 3010 Applied Data Analysis Class Meeting #9 Tuesday, Sept 23 rd Today's Topics Current Event Example – Hurricane Data Approximations and Relationships among Distributions The Central Limit Theorem Central limit theorem workshop Turn in your Grade Posting Permission form Reading for Thursday: pages 103-116 Next Tuesday, Sept 28th, 1 st midterm exam [ exam will cover Chapters 1, 2 and 3 ]

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2 Approximations & relationships among distributions 1. Binomial approximation to the Hypergeometric n 0.1 N = D p N n is small enough that with or without replacement doesn't matter much 2. Poisson approximation to the Binomial p0 →∞ n λ ⋅= n p constant large n and p < 0.1
3 Normal Approximation to the Binomial Distribution

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4 Normal Approximation to the Binomial Distribution
5 Normal Approximation to the Binomial Distribution

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6 Half-Unit or Continuity Correction 1193 . 0 ) 1785 . 1 ( 1213 . 2 5 5 . 2 ) 9 . 0 )( 1 . 0 ( 50 1 . 0 50 ) 2 ( = < = < = Z P X P X P Gives a more accurate approximation.
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Class Meeting 09 - CHEN 3010 Applied Data Analysis Class...

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