Nguồn ngoài

Introductory Statistics

Statistics

Nhà xuất bản: El Camino College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 136 mục

01: Sampling and Data
1.1: Introduction
1.2: Definitions of Statistics Probability and Key Terms
1.3: Data Sampling and Variation in Data and Sampling
1.4: Frequency Frequency Tables and Levels of Measurement
1.5: Experimental Design and Ethics
1.6: Data Collection Experiment (Worksheet)
1.7: Sampling Experiment (Worksheet)
1.8: 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
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)
2.10: Descriptive Statistics (Exercises)
03: Probability Topics
3.1: Introduction
3.2: Terminology
3.3: Independent and Mutually Exclusive Events
3.4: Two Basic Rules of Probability
3.5: Contingency Tables
3.6: Tree and Venn Diagrams
3.7: Probability Topics (Worksheet)
3.8: 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)
4.10: Discrete Random Variables (Exercises)
05: Continuous Random Variables
5.1: Introduction
5.2: Continuous Probability Functions
5.3: The Uniform Distribution
5.4: The Exponential Distribution
5.5: Continuous Distribution (Worksheet)
5.6: Continuous Random Variables (Exercises)
5.7: Exercises
06: The Normal Distribution
6.1: Prelude to The Normal Distribution
6.2: The Standard Normal Distribution
The Standard Normal Distribution (Exercises)
6.3: Using the Normal Distribution
6.4: Normal Distribution - Lap Times (Worksheet)
6.5: Normal Distribution - Pinkie Length (Worksheet)
6.6: The Normal Distribution (Exercises)
07: The Central Limit Theorem
7.1: Prelude to the Central Limit Theorem
7.2: The Central Limit Theorem for Sample Means (Averages)
The Central Limit Theorem for Sample Means (Exercises)
7.3: The Central Limit Theorem for Sums
7.4: Using the Central Limit Theorem
Using the Central Limit Theorem (Exercises)
7.5: Central Limit Theorem - Pocket Change (Worksheet)
7.6: Central Limit Theorem - Cookie Recipes (Worksheet)
7.7: The Central Limit Theorem (Exercises)
08: Confidence Intervals
8.1: Prelude to Confidence Intervals
8.2: A Single Population Mean using the Normal Distribution
A Single Population Mean using the Normal Distribution (Exercises)
8.3: A Single Population Mean using the Student t-Distribution
8.4: A Population Proportion
8.5: Confidence Interval - Home Costs (Worksheet)
8.6: Confidence Interval -Place of Birth (Worksheet)
8.7: Confidence Interval -Women's Heights (Worksheet)
8.8: Confidence Intervals (Exercises)
8.9: Confidence Intervals (Summary)
09: Hypothesis Testing with One Sample
9.1: Prelude to Hypothesis Testing
9.2: Null and Alternative Hypotheses
Null and Alternative Hypotheses (Exercises)
9.3: Outcomes and the Type I and Type II Errors
Outcomes and the Type I and Type II Errors (Exercises)
9.4: Distribution Needed for Hypothesis Testing
Distribution Needed for Hypothesis Testing (Exercises)
9.5: Rare Events the Sample Decision and Conclusion
Rare Events the Sample Decision and Conclusion (Exercises)
9.6: Additional Information and Full Hypothesis Test Examples
9.7: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
9.8: Hypothesis Testing with One Sample (Exercises)
10: Hypothesis Testing with Two Samples
10.1: Prelude to Hypothesis Testing with Two Samples
10.2: Two Population Means with Unknown Standard Deviations
10.3: Two Population Means with Known Standard Deviations
10.4: Comparing Two Independent Population Proportions
10.5: Matched or Paired Samples
10.6: Hypothesis Testing for Two Means and Two Proportions (Worksheet)
10.7: Hypothesis Testing with Two Samples (Exercises)
11: The Chi-Square Distribution
11.01: Prelude to The Chi-Square Distribution
11.02: Facts About the Chi-Square Distribution
11.03: Goodness-of-Fit Test
11.04: Test of Independence
11.05: Test for Homogeneity
11.06: Comparison of the Chi-Square Tests
11.07: Test of a Single Variance
11.08: Lab 1: Chi-Square Goodness-of-Fit (Worksheet)
11.09: Lab 2: Chi-Square Test of Independence (Worksheet)
11.10: The Chi-Square Distribution (Exercises)
12: Linear Regression and Correlation
12.01: Prelude to Linear Regression and Correlation
12.02: Linear Equations
Linear Equations (Exercises)
12.03: Scatter Plots
Scatter Plots (Exercises)
12.04: The Regression Equation
The Regression Equation (Exercise)
12.05: Testing the Significance of the Correlation Coefficient
Testing the Significance of the Correlation Coefficient (Exercises)
12.06: Prediction
Prediction (Exercises)
12.07: Outliers
Outliers (Exercises)
12.08: Regression - Distance from School (Worksheet)
12.09: Regression - Textbook Cost (Worksheet)
12.10: Regression - Fuel Efficiency (Worksheet)
12.11: Linear Regression and Correlation (Exercises)
13: F Distribution and One-Way ANOVA
13.1: Prelude to F Distribution and One-Way ANOVA
13.2: One-Way ANOVA
13.3: The F Distribution and the F-Ratio
13.4: Facts About the F Distribution
13.5: Test of Two Variances
13.6: Lab: One-Way ANOVA
13.7: F Distribution and One-Way ANOVA (Exercises)