Understanding Statistics: Activities and Exercises for a First Statistics Course
Edition: 3
Copyright: 2023
Pages: 94
Edition: 3
Copyright: 2023
Pages: 174
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This text provides hands-on activities and practice exercises to supplement a standard introductory statistics course. Topics include data collection and summarization, probability and probability distributions, and statistical inference.
The three components of the workbook include:
- Laboratory Activities: 24 hands-on activities that are designed to practice
quantitative/statistical thinking with group work, data collection, and analysis. Some activities
require additional resources such as dice, coins, toothpicks, and tape measures. - Practice Exercises: 128 practice exercises are provided as homework assignments or group
work. Solutions are not included with this practice set. - Review Exercises with Solutions: 32 review exercises are provided with fully worked-out
solutions. This may be a good resource for students who would like to test their knowledge and
gain immediate feedback, as a practice resource before assessments, or for the student who
needs to see one more example before feeling confident to strike out on their own.
The authors have additionally developed an open-source inquiry-based set of course notes to supplement the text. Together these materials provide an affordable and interactive set of materials for an introductory statistics course.
1 Data Collection, Visualization, and Summarization
1.1 Activity 1: Sampling
1.2 Activity 2: Experiments
1.3 Activity 3: Graphing Data
1.4 Activity 4: Calculating Descriptive Statistics
1.5 Activity 5: Comparative Graphs and Summaries
2 Probability and Probability Distributions
2.1 Activity 6: Estimating Probabilities of Unknown Events
2.2 Activity 7: Contingency Tables
2.3 Activity 8: Basic Probability
2.4 Activity 9: Discrete Probability Distributions
2.5 Activity 10: Simulating a Probability Distribution and Binomial Probabilities
2.6 Activity 11: Simulating a Probability Distribution and Normal Probabilities
2.7 Activity 12: Sampling Distribution of Proportions
2.8 Activity 13: Sampling Distribution of Means
3 Statistical Inference
3.1 Activity 14: One Sample Confidence Intervals
3.2 Activity 15: Simulating the Confidence Level
3.3 Activity 16: One Sample Inference for Proportions
3.4 Activity 17: Two Sample Inference for Proportions
3.5 Activity 18: One Sample Inference for Means
3.6 Activity 19: Two Sample Inference for Means
3.7 Activity 20: Inference for Paired Data
3.8 Activity 21: Analysis of Variance
3.9 Activity 22: Chi-Squared Test for Independence
4 Correlation and Regression
4.1 Activity 23: Scatterplots and Correlation
4.2 Activity 24: Least Squares Regression
5 Practice Exercises
5.1 Vocabulary and Data Collection
5.2 Univariate Data Visualization
5.3 Numerical Summaries of Data
5.4 Comparative Data Visualizations
5.5 Study Design
5.6 Probability
5.7 Discrete Distributions
5.8 The Binomial Distribution
5.9 The Normal Distribution
5.10 Sampling Distribution of the Sample Proportion
5.11 Inference for One Proportion
5.12 Inference for Two Proportions
5.13 Sampling Distribution of the Sample Mean
5.14 Inference for One Mean
5.15 Inference for Two Means
5.16 Inference for More than Two Means
5.17 Inference for More than Two Proportions
5.18 Correlation and Regression
5.19 Review Exercises
5.20 Solutions to Review Exercises
6 Appendix
6.1 Random Digits Table
6.2 Standard Normal Probability Table
6.3 Student’s t Table
6.4 Chi-Squared Table