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Math 219    Statistics & Probability

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We All Use Math Everyday

                 TI/Numb3rs

 

Public Opinion Polls and Explanations of Confidence Intervals

                 CBS News Poll

                 Gallup Poll

                 LA Times Poll                

 

Chapter 1   Introduction to Statistics

                 Types of Data

                 Critical Thinking

                 Design of Experiments

 

Chapter 2   Summarizing and Graphing Data

                 Frequency Distributions

                 Histograms

 

Chapter 3   Describing, Exploring and Comparing Data

                 Measures of Center

                 Measures of Variation

                 Measures of Relative Standing

 

Chapter 4   Probability

                 Probability Fundamentals

                 Addition Rule

                 Multiplication Rule

                 Complements and Conditional Probability

                 Probabilities Through Simulations

                 Counting
                 Bayes' Theorem

 

Chapter 5   Probability Distributions

                 Random Variables

                 Binomial Probability Distributions

                 Binomial Theorem

                 Poisson Distribution

 

Chapter 6   Normal Probability Distributions

                 Standard Normal Distribution

                 Sampling Distributions

                 Estimators

                 The Central Limit Theorem

                 Central Limit Theorem Dice Simulation

                 Central Limit Theorem Random Number Simulation

                 Normal as Approximation to Binomial

                

Chapter 7   Estimates and Sample Sizes

                 Estimating a Population Proportion

                 Estimating a Population Mean:  Standard Deviation Known

                 Estimating a Population Mean:  Standard Deviation Unknown

                 Estimating a Population Variance

                 Confidence Intervals

 

Chapter 8   Hypothesis Testing

                 Basics of Hypothesis Testing

                 Testing a Claim About a Proportion

                 Testing a Claim About a Mean:  Standard Deviation Known

                 Testing a Claim About a Mean:  Standard Deviation Unknown

                 Testing a Claim About a Standard Deviation or Variance

 

Chapter 9   Inferences from Two Samples

                 Inferences About Two Proportions

                 Inferences About Two Means:  Independent Samples

                 Inferences from Matched Pairs

                 Comparing Variation in Two Samples

 

Chapter 10  Correlation and Regression

                 Correlation

                 Regression

                 Variation and Prediction Intervals

                 Multiple Regression

 

Chapter 11   Multinomial Experiments and Contingency Tables

                       Multinomial Experiments:  Goodness-of-Fit

                  Contingency Tables

 

Chapter 12   Analysis of Variance

                       One-Way ANOVA

                  Two-Way ANOVA

 

Chapter 13   Nonparametric Statistics

                       Sign Test

                  Wilcoxon Signed-Ranks Test for Matched Pairs

                  Wilcoxon Rank-Sum Test for Two Independent Samples

                  Kruskal-Wallis Test

                  Rank Correlation

                  Runs Test for Randomness

 

 

 

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Copyright 2002, RSCCD | last updated 04/01/2009 by Mike Everett

© Copyright 2005, Santa Ana College, RSCCD
Last updated 05/04/2009 by DMZN\le_hang