Study_SheetPre2 - Condition: 5 ! np AND 5 ) 1 ( ! " p...

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Study Sheet for AEM 210 Prelim 2 Continuous X is measuring Uniform f ( x ) = 1 ( d " c ) for c < x < d 0 elsewhere # $ % % % % μ = c + d 2 " = ( d # c ) 2 12 Did you take a sample? Normal X ~ N ( μ , σ ) x of on Distributi Convert to Z using ! " = x z x of on Distributi If 30 ! n OR underlying population (x) is distributed normally, then x ~ N ( , n ) , and z = X " # n Distribution of ˆ p If 5 ! np AND 5 ) 1 ( ! " p n , then ˆ p ~ N ( p , p (1 " p ) n ) , and z = ˆ p " p p (1 " p ) n or Discrete X is counting Regular x and p(x) given μ = E(x) = xp ( x ) " σ = x 2 p ( x ) " 2 Binomial μ = np σ = ) 1 ( p np ! Must meet binomial assumptions: 1. n identical trials 2. two outcomes, success and failure 3. probability of success stay s the same from trial to trial; denoted by p 4. trials are independent 5. x is the number of successes in n trials Formula p ( x ) = n x " # $ % p x (1 ( p ) n ( x Table- or Calculator (learn how to use them) or or Approximate using continuous probability function (normal curve)
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Unformatted text preview: Condition: 5 ! np AND 5 ) 1 ( ! " p n Dont forget Continuity Correction Factor ( .5) ) 1 ( p np x z B ! ! = or Memorize: When to use z and t for confidence intervals Assumptions for using t distribution How to use z table, t table, random number table, and binomial table Methods for approximating when determining sample size needed to estimate Methods for approximating p when determining sample size needed to estimate p Central Limit Theorem and Fred When to use the Finite Population Correction Factor Also, study up on concepts from the packet for multiple choice Good luck studying!...
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This note was uploaded on 10/18/2008 for the course AEM 2100 taught by Professor Vanes,c. during the Spring '08 term at Cornell University (Engineering School).

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