Math 10: Elementary Statistics

Students study and demonstrate knowledge and understanding of descriptive and inferential statistics including data analysis, correlation and linear regression, probability, probability distributions and assorted hypothesis testing. Particular emphasis is placed on applications.

Mathematics

Tác giả: Zoya Kravets
Nhà xuất bản: Mission College
Nguồn: LibreTexts
Giấy phép: CC BY
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 132 mục

01: Sampling and Data
1.01: Introduction
1.02: Definitions of Statistics Probability and Key Terms
1.03: Data Sampling and Variation in Data and Sampling
1.04: Frequency Frequency Tables and Levels of Measurement
1.05: Experimental Design and Ethics
1.06: Data Collection Experiment (Worksheet)
1.07: Sampling Experiment (Worksheet)
1.E: Sampling and Data (Exercises)
02: Descriptive Statistics
2.01: Prelude to Descriptive Statistics
2.02: Stem-and-Leaf Graphs (Stemplots) Line Graphs and Bar Graphs
2.03: Histograms Frequency Polygons and Time Series Graphs
2.04: Measures of the Location of the Data
2.4E: Measures of the Location of the Data (Exercises)
2.05: Box Plots
2.06: Measures of the Center of the Data
2.07: Skewness and the Mean Median and Mode
2.08: Measures of the Spread of the Data
2.09: Descriptive Statistics (Worksheet)
2.E: Descriptive Statistics (Exercises)
03: Probability Topics
3.01: Introduction
3.02: Terminology
3.03: Independent and Mutually Exclusive Events
3.04: Two Basic Rules of Probability
3.05: Contingency Tables
3.06: Tree and Venn Diagrams
3.07: Probability Topics (Worksheet)
3.E: Probability Topics (Exericses)
04: Discrete Random Variables
4.01: Prelude to Discrete Random Variables
4.02: Probability Distribution Function (PDF) for a Discrete Random Variable
4.03: Mean or Expected Value and Standard Deviation
4.04: Binomial Distribution
4.05: Geometric Distribution
4.06: Hypergeometric Distribution
4.07: Poisson Distribution
4.08: Discrete Distribution (Playing Card Experiment)
4.09: Discrete Distribution (Lucky Dice Experiment)
4.E: Discrete Random Variables (Exercises)
05: Continuous Random Variables and The Normal Distribution
5.01: Continuous Probability Functions
5.02: Prelude to The Normal Distribution
5.03: The Standard Normal Distribution
5.04: Using the Normal Distribution
5.05: The Uniform Distribution
5.06: The Exponential Distribution
5.07: Continuous Distribution (Worksheet)
5.08: Normal Distribution - Lap Times (Worksheet)
5.09: Normal Distribution - Pinkie Length (Worksheet)
5.E: The Normal Distribution (Exercises)
1.01: The Standard Normal Distribution (Exercises)
06: The Central Limit Theorem
6.01: Prelude to the Central Limit Theorem
6.02: The Central Limit Theorem for Sample Means (Averages)
6.2E: The Central Limit Theorem for Sample Means (Exercises)
6.03: The Central Limit Theorem for Proportions
6.04: Using the Central Limit Theorem
6.4E: Using the Central Limit Theorem (Exercises)
6.05: Central Limit Theorem - Pocket Change (Worksheet)
6.06: Central Limit Theorem - Cookie Recipes (Worksheet)
6.E: The Central Limit Theorem (Exercises)
07: Confidence Intervals
7.01: Process of Estimation - Introduction to Confidence Intervals
7.02: Estimating a Population Proportion
7.03: Estimating a Population Mean
7.04: Confidence Interval - Home Costs (Worksheet)
7.05: Confidence Interval -Place of Birth (Worksheet)
7.06: Confidence Interval -Women's Heights (Worksheet)
7.07: A Single Population Mean using the Normal Distribution
7.7E: A Single Population Mean using the Normal Distribution (Exercises)
7.E: Confidence Intervals (Exercises)
7.S: Confidence Intervals (Summary)
08: Hypothesis Testing with One Sample
8.01: Prelude to Hypothesis Testing
8.02: Null and Alternative Hypotheses
8.2E: Null and Alternative Hypotheses (Exercises)
8.03: Outcomes and the Type I and Type II Errors
8.3E: Outcomes and the Type I and Type II Errors (Exercises)
8.04: Distribution Needed for Hypothesis Testing
8.4E: Distribution Needed for Hypothesis Testing (Exercises)
8.05: Rare Events the Sample Decision and Conclusion
8.5E: Rare Events the Sample Decision and Conclusion (Exercises)
8.06: Hypothesis Test of a Single Population Mean with Examples
8.07: Hypothesis Test of Single Population Proportion with Examples
8.08: More on Hypothesis Testing of a Single Mean and Single Proportion
8.E: Hypothesis Testing with One Sample (Exercises)
09: Hypothesis Testing with Two Samples
9.01: Prelude to Hypothesis Testing with Two Samples
9.02: Comparing Two Independent Population Means
9.03: Comparing Two Independent Population Proportions
9.04: Matched or Paired Samples
9.05: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
9.E: Hypothesis Testing with Two Samples (Exercises)
10: Linear Regression and Correlation
10.01: Prelude to Linear Regression and Correlation
10.02: Linear Equations
10.2E: Linear Equations (Exercises)
10.03: Scatter Plots
10.3E: Scatter Plots (Exercises)
10.04: The Regression Equation
10.4E: The Regression Equation (Exercise)
10.05: Testing the Significance of the Correlation Coefficient
10.5E: Testing the Significance of the Correlation Coefficient (Exercises)
10.06: Prediction
10.6E: Prediction (Exercises)
10.07: Outliers
10.7E: Outliers (Exercises)
10.08: Regression - Distance from School (Worksheet)
10.09: Regression - Textbook Cost (Worksheet)
10.10: Regression - Fuel Efficiency (Worksheet)
10.E: Linear Regression and Correlation (Exercises)
11: F Distribution and One-Way ANOVA
11.01: Prelude to F Distribution and One-Way ANOVA
11.02: F Distribution
11.03: Multiple Comparisons
11.04: One-Factor ANOVA
11.05: Test of Two Variances
11.06: Lab- One-Way ANOVA
11.E: F Distribution and One-Way ANOVA (Exercises)
12: The Chi-Square Distribution and Chi-Square Tests
12.01: Prelude to The Chi-Square Distribution
12.02: Facts About the Chi-Square Distribution
12.03: Goodness-of-Fit Test
12.04: Test of Independence
12.05: Test for Homogeneity
12.06: Comparison of the Chi-Square Tests
12.07: Test of a Single Variance
12.08: Lab 1- Chi-Square Goodness-of-Fit (Worksheet)
12.09: Lab 2- Chi-Square Test of Independence (Worksheet)
12.E: The Chi-Square Distribution (Exercises)