Math 10: Elementary Statistics

Students study probability, descriptive and inferential statistics including probability distribution, hypothesis testing, linear regression and applications.

Mathematics

Tác giả: Cliff Hwang
Nhà xuất bản: Mission College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 59 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
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
2.05: 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
03: Linear Regression and Correlation
3.01: Prelude to Linear Regression and Correlation
3.02: Linear Equations
3.03: Scatter Plots
3.04: The Regression Equation
3.05: Prediction
04: Probability Topics
4.01: Introduction
4.02: Terminology
05: Discrete Random Variables
5.01: Prelude to Discrete Random Variables
5.02: Probability Distribution Function (PDF) for a Discrete Random Variable
5.03: Mean or Expected Value and Standard Deviation
5.04: Binomial Distribution
06: Continuous Random Variables
6.01: Introduction
6.02: Continuous Probability Functions
6.03: The Uniform Distribution
07: The Normal Distribution
7.01: Prelude to The Normal Distribution
7.02: The Standard Normal Distribution
7.03: Using the Normal Distribution
08: The Central Limit Theorem
8.01: Prelude to the Central Limit Theorem
8.02: The Central Limit Theorem for Sample Means (Averages)
8.03: The Central Limit Theorem for Sums
8.04: Using the Central Limit Theorem
09: Confidence Intervals
9.01: Prelude to Confidence Intervals
9.02: A Single Population Mean using the Normal Distribution
9.03: A Single Population Mean using the Student t-Distribution
9.04: A Population Proportion
9.S: Confidence Intervals (Summary)
10: Hypothesis Testing with One Sample
10.01: Prelude to Hypothesis Testing
10.02: Null and Alternative Hypotheses
10.03: Outcomes and the Type I and Type II Errors
10.04: Distribution Needed for Hypothesis Testing
10.05: Rare Events the Sample Decision and Conclusion
10.06: Additional Information and Full Hypothesis Test Examples
11: Hypothesis Testing with Two Samples
11.01: Comparing Two Independent Population Means (Hypothesis test)
11.02: Comparing Two Independent Population Proportions (Hyppothesis test)
11.03: Matched or Paired Samples