UT Knoxville STAT 201 - Chapter 11 (16 pages)

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Chapter 11



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Chapter 11

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Pages:
16
School:
University of Tennessee
Course:
Stat 201 - Introduction to Statistics
Introduction to Statistics Documents

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Chapter 11 Chapter11 Presentation 1213 Understanding Randomness Copyright 2009 Pearson Education Inc 1 What Are Random Events If we know what events could happen but can t predict in any one case what will happen and knowing what just happened tells us nothing about what will happen next i e events are independent of each other then events are happening at random Are Random Events always equally likely Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 2 Why Be Random Statisticians don t think of randomness as the annoying tendency of things to be unpredictable or haphazard Statisticians use randomness as a tool Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 3 Using Randomness To Our Advantage One way statisticians use randomness is to help them select a representative sample from a larger population they want to study We can use randomness to help us simulate reality A simulation mimics reality by using random numbers to represent outcomes of real events Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 4 In Class Simulation Suppose a basketball player is a 75 free throw shooter meaning that in the long run they make about 75 of their free throws and miss about 25 Suppose we have this player attempt 50 free throws Would it surprise you if they made all 50 free throws If they only made 10 free throws would you begin to doubt that they were really a 75 free throw shooter What about 15 What about 20 Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 5 75 Free Throw Shooter So out of 50 attempts what is the smallest number of made free throws that would not surprise you Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 6 Simulating 50 Free Throws We can simulate this situation with 2 coins There are 4 equally likely outcomes when you flip 2 coins 1 25 Missed Free Throw 2 3 75 Made Free Throw 4 Chapter11 Presentation 1213 Copyright 2009 Pearson Education Inc 7 Simulating 50 Free Throws Cont In



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