Primary Navigation
Want to create or adapt books like this? Learn more about how Pressbooks supports open publishing practices.
Book Contents Navigation
Acknowledgements
About this Book
Changes From Previous Version
1.1 Introduction to Sampling and Data
1.2 Definitions of Statistics, Probability, and Key Terms
1.3 Sampling and Data
1.4 Frequency, Frequency Tables, and Levels of Measurement
1.5 Experimental Design and Ethics
1.6 Exercises
1.7 Answers to Selected Exercises
2.1 Introduction to Descriptive Statistics
2.2 Histograms, Frequency Polygons, and Time Series Graphs
2.3 Measures of Central Tendency
2.4 Skewness and the Mean, Median, and Mode
2.5 Measures of Location
2.6 Measures of Dispersion
2.7 Exercises
3.1 Introduction to Probability
3.2 The Terminology of Probability
3.3 Contingency Tables
3.4 The Complement Rule
3.5 The Addition Rule
3.6 Conditional Probability
3.7 Joint Probabilities
3.8 Exercises
4.1 Introduction to Discrete Random Variables
4.2 Probability Distribution of a Discrete Random Variable
4.3 Expected Value and Standard Deviation for a Discrete Probability Distribution
4.4 The Binomial Distribution
4.5 The Poisson Distribution
4.6 Exercises
5.1 Introduction to Continuous Random Variables
5.2 Probability Distribution of a Continuous Random Variable
5.3 The Normal Distribution
5.4 The Standard Normal Distribution
5.5 Calculating Probabilities for a Normal Distribution
5.6 Exercises
6.1 Introduction to Sampling Distributions and the Central Limit Theorem
6.2 Sampling Distribution of the Sample Mean
6.3 Sampling Distribution of the Sample Proportion
6.4 Exercises
7.1 Introduction to Confidence Intervals
7.2 Confidence Intervals for a Single Population Mean with Known Population Standard Deviation
7.3 Confidence Intervals for a Single Population Mean with Unknown Population Standard Deviation
7.4 Confidence Intervals for a Population Proportion
7.5 Calculating the Sample Size for a Confidence Interval
7.6 Exercises
8.1 Introduction to Hypothesis Testing
8.2 Null and Alternative Hypotheses
8.3 Outcomes and the Type I and Type II Errors
8.4 Distributions Required for a Hypothesis Test
8.5 Rare Events, the Sample, Decision, and Conclusion
8.6 Hypothesis Tests for a Population Mean with Known Population Standard Deviation
8.7 Hypothesis Tests for a Population Mean with Unknown Population Standard Deviation
8.8 Hypothesis Tests for a Population Proportion
8.9 Exercises
9.1 Introduction to Statistical Inference with Two Populations
9.2 Statistical Inference for Two Population Means with Known Population Standard Deviations
9.3 Statistical Inference for Two Population Means with Unknown Population Standard Deviations
9.4 Statistical Inference for Matched Samples
9.5 Statistical Inference for Two Population Proportions
9.6 Exercises
10.1 Introduction to Statistical Inferences Using the Chi-Square Distribution
10.2 The Chi Square Distribution
10.3 Statistical Inference for a Single Population Variance
10.4 The Goodness-of-Fit Test
10.5 The Test of Independence
10.6 Exercises
11.1 Introduction to Statistical Inferences Using the F-Distribution
11.2 The F-Distribution
11.3 Statistical Inference for Two Population Variances
11.4 One-Way ANOVA and Hypothesis Tests for Three or More Population Means
11.5 Exercises
12.1 Introduction to Linear Regression and Correlation
12.2 Linear Equations
12.3 Scatter Diagrams
12.4 Correlation
12.5 The Regression Equation
12.6 Coefficient of Determination
12.7 Standard Error of the Estimate
12.8 Exercises
13.1 Introduction to Multiple Regression
13.2 Multiple Regression
13.3 Standard Error of the Estimate
13.4 Coefficient of Multiple Determination
13.5 Testing the Significance of the Overall Model
13.6 Testing the Regression Coefficients
13.7 Multicollinearity
13.8 Exercises
13.9 Answers to Select Exercises
References
Versioning History
4.1 Introduction to Discrete Random Variables 4.2 Probability Distribution of a Discrete Random Variable 4.3 Expected Value and Standard Deviation for a Discrete Probability Distribution 4.4 The Binominal Distribution 4.5 The Poisson Distribution 4.6 Exercises
Previous/next navigation
Introduction to Statistics Copyright © 2022 by Valerie Watts is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.