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Acknowledgments
1.1 What is Statistics?
1.2 Data Collection
1.3 Variables and Data
1.4 Organizing Data
1.5 Shape of a Distribution
1.6 Learning Objectives Revisited
1.7 Review Questions
1.8 Assignment 1
Quiz 1
2.1 Centre of a Distribution
2.2 Quartiles and Percentiles
2.3 Spread (Variation) of a Distribution
2.4 Five-Number Summary and Boxplot
2.5 Descriptive Measures for Population and Sample
2.6 Z-Score as a Measure of Relative Standing
2.7 Learning Objectives Revisited
2.8 Review Questions
2.9 Assignment 2
Quiz 2
3.1 Basic Concepts in Probability
3.2 Probability of An Event
3.3 Relationship Between Events and Venn Diagrams
3.4 Probability Rules
3.5 Conditional Probability and Independence
3.6 Summary of Probability Rules
3.7 Tree Diagrams
3.8 Counting Rules: Basic Counting Rule, Combination, and Permutation
3.9 Contingency Table: Joint and Marginal Probability
3.10 Learning Objectives Revisited
3.11 Review Questions
3.12 Assignment 3
Quiz 3
4.1 Random Variable
4.2 Probability Distribution of a Discrete Variable
4.3 Defining Events Using Random Variable Notation
4.4 Mean and Standard Deviation of a Discrete Variable
4.5 Binomial Distribution
4.6 Learning Objectives Revisited
4.7 Review Questions
4.8 Assignment 4
Quiz 4
5.1 Density Curve
5.2 Normal Density Curve
5.3 Standard Normal Density Curve
5.4 Using the Standard Normal Table
5.5 Working With Any Normal Distribution
5.6 Assessing Normality: Normal Probability Plot
5.7 Learning Objectives Revisited
5.8 Review Questions
5.9 Assignment 5
Quiz 5
6.1 Parameter and Statistic
6.2 Distribution of the Sample Mean
6.3 Central Limit Theorem (CLT)
6.4 Learning Objectives Revisited
6.5 Review Questions
6.6 Assignment 6
Quiz 6
7.1 Confidence Interval When σ is Known
7.2 Confidence Interval When σ is Unknown
7.3 Learning Objectives Revisited
7.4 Review Questions
7.5 Assignment 7
Quiz 7
8.1 Hypotheses
8.2 Type I and Type II Errors
8.3 Main Idea Behind Hypothesis Tests for μ
8.4 Quantify the “Extremeness"
8.5 Hypothesis Tests for One Population Mean μ
8.6 Relationship Between Confidence Intervals and Hypothesis Tests
8.7 Learning Objectives Revisited
8.8 Review Questions
8.9 Assignment 8
Quiz 8
9.1 Distribution of the Difference between Two Sample Means for Two Independent Samples
9.2 Two-Sample t Test and t Interval Based on Two Independent Samples
9.3 Paired t Test and Interval Based on Paired Sample
9.4 Learning Objectives Revisited
9.5 Review Questions
9.6 Assignment 9
Quiz 9
10.1 Population Proportion and the Sample Proportion
10.2 Distribution of the Sample Proportion
10.3 One-Proportion z Interval
10.4 Margin of Error and Sample Size Calculation for Proportion
10.5 One-Proportion z Test for p
10.6 Inferences for Two Population Proportions
10.7 Learning Objectives Revisited
10.8 Review Questions
10.9 Assignment 10
Quiz 10
11.1 Introduction
11.2 Chi-Square Distribution
11.3 Chi-Square Goodness-of-Fit Test
11.4 Chi-Square Independence Test
11.5 Chi-Square Homogeneity Test
11.6 Learning Objectives Revisited
11.7 Review Questions
11.8 Assignment 11
12.1 Opening Example
12.2 Main Idea Behind One-Way ANOVA
12.3 F Distribution
12.4 One-Way ANOVA F Test
12.5 Learning Objectives Revisited
12.6 Review Questions
12.7 Assignment 12
Quiz 11
13.1 Introduction
13.2 Least-Squares Straight Line
13.3 Prediction and Extrapolation
13.4 Outliers and Influential Observations
13.5 Correlation Coefficient r
13.6 The Coefficient of Determination
13.7 Simple Linear Regression Model (SLRM)
13.8 Inferences for the Parameters in SLRM
13.9 Confidence Intervals and Prediction Intervals
13.10 Learning Objectives Revisited
13.11 Review Questions
13.12 Assignment 13
Quiz 12
Appendix A: Formula Sheet
Appendix B: Statistical Tables
Appendix C: Lab Manual
Appendix D: Image Descriptions
Versioning History
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Introduction to Applied Statistics Copyright © 2024 by Wanhua Su is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.