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Math 219 ELEMENTARY STATISTICS

Intermediate Algebra

 

Addison Wesley

 

Chapter 1   Introduction to Statistics

                 Overview

                 Types of Data

                 Critical Thinking

                 Design of Experiments

                

Chapter 2   Describing, Exploring, and Comparing Data

                 Overview

                 Frequency Distributions

                 Visualizing Data

                 Measures of Center

                 Measures of Variation

                 Measures of Relative Standing

                 Exploratory Data Analysis (EDA)

                

Chapter 3   Probability

                 Overview

                 Fundamentals

                 Addition Rule

                 Multiplication Rule: Basics

                 Multiplication Rule: Complements and Conditional Probability

                 Probabilities Through Simulations

                 Counting

                

Chapter 4   Probability Distributions

                 Overview

                 Random Variables

                 Binomial Probability Distributions

                 Mean, Variance, and Standard Deviation for the Binomial Distribution

                 The Poisson Distribution

                                 

Chapter 5   Normal Probability Distributions

                 Overview

                 The Standard Normal Distribution

                 Applications of Normal Distributions

                 Sampling Distributions and Estimators

                 The Central Limit Theorem

                 Normal As Approximation to Binomial

                 Determining Normality

                

Chapter 6   Estimates and Sample Sizes

                 Overview

                 Estimating a Population Proportion

                 Estimating a Population Mean: Standard Deviation Known

                 Estimating a Population Mean: Standard Deviation Not Known

                 Estimating a Population Variance

 

Chapter 7   Hypothesis Testing

                 Overview

                 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 Not Known

                 Testing a Claim About a Standard Deviation or Variance

                

Chapter 8   Inferences from Two Samples

                 Overview

                 Inferences About Two Proportions

                 Inferences About Two Means: Independent Samples

                 Inferences from Matched Pairs

                 Comparing Variation in Two Samples

                

Chapter 9   Correlation and Regressions

                 Overview

                 Correlation

                 Regression

                 Variation and Prediction Intervals

                 Multiple Regression

                 Modeling

               

Chapter 10  Multinomial Experiments and Contingency Tables

                     Overview

                 Multinomial Experiments: Goodness-of-Fit

                 Contingency Tables: Independence and Homogeneity

                

Chapter 11  Analysis of Variance

                      Overview

                  One-Way ANOVA

                  Two-Way ANOVA

                

Chapter 12  Nonparametric Statistics

                      Overview

                  Sign Test

                  Wilcoxon Signed-Ranks Test for Matched Pairs

                      Wilcoxon Rank-Sum Test for Two Independent Samples

                  Kruskal-Wallis Test

                  Rank Correlation

                      Run Test for Randomness

 

Chapter 13  Statistical Process Control

                      Overview

                  Control Charts for Variation and Mean

                  Control Charts for Attributes

 

Chapter 14  Projects, Procedures, Perspectives

                      Projects

                  Procedure

                  Perspective

 

 

 

 

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