## Elementary Statistics

Introduction to Statistics

Statistical Thinking

Types of Data

Critical Thinking

Design of Experiments

Summarizing and Graphing Data

Frequency Distributions

Histograms

Statistical Graphics

Statistics for Describing, Exploring, and Comparing Data

Measures of Center

Measures of Variation

Measures of Relative Standing and Boxplots

Probability

Fundamentals

Multiplication Rule: Basics

Multiplication Rule: Complements and Conditional Probability

Probabilities Through Simulations

Counting

Bayes’ Theorem (on CD-ROM)

Discrete Probability Distributions

Random Variables

Binomial Probability Distributions

Mean, Variance, and Standard Deviation for the Binomial Distribution

The Poisson Distribution

Normal Probability Distributions

The Standard Normal Distribution

Applications of Normal Distributions

Sampling Distributions and Estimators

The Central Limit Theorem

Normal as Approximation to Binomial

Assessing Normality

Estimates and Sample Sizes

Estimating at Population Proportion

Estimating Population Mean: ? Known

Estimating a Population Mean: ? Not Known

Estimating a Population Variance

Hypothesis Testing

Basics of Hypothesis Testing

Testing a Claim About a Proportion

Testing a Claim About a Mean: ? Known

Testing a Claim About a Mean: ? Not Known

Inferences from Two Samples

Inferences About Two Means: Independent Samples

Inferences from Matched Pairs

Comparing Variation in Two Samples

Correlation and Regression

Correlation

Contingency Tables

Variation and Prediction Intervals

Multiple Regression

Modeling

Goodness-of-Fit and Contingency Tables

Goodness-of-Fit

Contingency Tables

McNemar’s Test for Matched Pairs

Analysis of Variance

One-Way ANOVA

Two-Way ANOVA

Nonparametric Statistics

Sign Test

Wilcoxon Signed Ranks Test for Matched Pairs

Wilcoxon Ranked-Sum Test for Two Independent Samples

Kruskal-Wallis Test

Rank Correlation

Runs Test for Randomness

Statistics Process Control

Control Charts for Variation and Mean

Control Charts for Attributes

PH Stats