Video Supplement for Math 63
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Professor Leonard Statistics Lectures JB Statistics Tyler Wallace Nicholas Bergeron Other
Section 1.1 The Key Words and Definitions For Elementary Statistics, Exploring Categories of Data, Levels of Measurement Variable Measurement Scales What is Statistics What is Statistics? Types of Data
Section 1.2 Sampling Techniques. How to Develop a Random Sample Random Samples Random Samples Random Sampling
Section 1.3 Introduction to Experimental Design Introduction to Experimental Design Introduction to Experiment Design
Section 2.1 Creating Frequency Distribution and Histograms Frequency Distributions and Cumulative Frequency Distributions>, Histograms and Stem & Leaf Plots Frequency Distributions, Histograms, and Related Topics Frequency Distributions, Histograms and Related Topics How to Make a Histrogram Using a Frequency Distribution Table
Section 2.3 Histograms and Stem & Leaf Plots Stem-and-Leaf Displays Stem & Leaf Plots Stem and Leaf Plots, Stem and Leaf Plots
Section 3.1 Finding the Center of a Data Set. Mean, Median, Mode Arithmetic Mean for Samples and Populations, Central Tendency: Mean, Median, and Mode Measures of Central Tendency Measures of Central Tendency Mode, Median, and Mean Measures of Central Tendency Average or Central Tendency
Section 3.2 Finding the Standard Deviation of a Data Set Variance and Standard Deviation of a Population, Variance and Standard Deviation of a Sample Measures of Variability, Measures of Variability (Variance, Standard Deviation, Range, Mean Absolute Deviation) Measures of Variation Measures of Variation Standard Deviation
Section 3.3 Percentiles and Quartiles, The Five Number Summary, Interquartile Range(IQR), and Boxplots Percentiles and Box-and-Whisker Plots Percentiles and Box & Whisker Plots Constructing a box and whisker plot
Section 4.1 Introduction to Probability The Basics of Probability What is Probability What is Probability?
Section 4.2 Additional Rule for Probability, The Multiplication Rule for "And" Probabilities, Probability of Complementary Events with "At Least One Addition Rule (Probability "or"), Multiplication Rule (Probability "and") Basics of Probability: Unions, Intersections, and Complements, An Introduction to Conditional Probability, Independent Events (Basics of Probability: Independence of Two Events), Conditional Probability Example Problems, What Does Independence Look Like on a Venn Diagram?, Are mutually exclusive events independent? Some Probability Rules - Compound Events Probability Rules of Compound Events Addition Rule for Probability
Section 5.1 A Study of Probability Distributions, Mean, and Standard Deviation Discrete and Continuous Random Variables, Discrete Probability Distributions, Probability Histograms, Mean and Expected Value of Discrete Random Variables, Variance and Standard Deviation of Discrete Random Variables An Introduction to Discrete Random Variables and Discrete Probability, The Expected Value and Variance of Discrete Random Variables Introduction to Random Variables and Probability Distributions Introduction to Random Variables & Probability Distributions Random Variables
Section 5.2 A Study of Binomial Probability Distributions Binomial Distribution An Introduction to the Binomial Distribution Binomial Probabilities Binomial Distribution
Section 5.3 Finding Mean and Standard Deviation of a Binomial Probability Distribution Mean and Standard Deviation of Binomial Random Variables Additional Properties of the Binomial Distribution Additional Properties of the Binomial Distribution
Section 5.4 An Introduction to the Geometric Distribution Geometric & Poisson Probability Distributions Geometric Distribution, Geometric Random Variables
Section 6.1 Introduction to the Normal Distribution and Continuous Random Variables An Introduction to the Continuous Uniform Distribution, An Introduction to the Normal Distribution Graphs of Normal Probability Distributions Graphs of Normal Probability Distributions
Section 6.2 The Standard Normal Distribution Standard Units and Areas Under the Standard Normal Distribution Standard Units & Areas Under the Standard Normal Distribution What is a "Standard Normal Distribution"? , normalcdf function on TI-84+, invNorm function on TI-84+
Section 6.3 Introduction to the Normal Distribution Areas Under Any Normal Curve Areas Under Any Normal Curve
Section 6.6 Normal Approximation to the Binomial Distribution Normal Approximation to Binomial Distribution Normal Approximation to the Binomial Distribution, Approximation a Binomial Distrubtion
Section 6.4 Sampling Distributions Statistics Distribution of the Sample Mean Sampling Distributions , Sampling Distribution of the Sample Mean Sampling Distributions Sampling Distributions Introduction to Sampling Distributions
Section 6.5 The Central Limit Theorem for Statistics The Central Limit Theorem Introduction to the Central Limit Theorem The Central Limit Theorem Central Limit Theorem Central Limit Theorem
Section 7.1 Confidence Interval for the Sample Mean, Sigma Known Calculating Required Sample Size Introduction to Confidence Intervals , Deriving a Confidence Interval for the Mean , Intro to Confidence Intervals for One Mean, Sigma Known , Determining the Required Sample Size Estimating Mean When Sigma is Known Estimating Mean When Sigma is Known
Section 7.2 Confidence Interval for the Sample Mean, Sigma is Unknown Confidence Interval for the Sample Mean, Sigma is Unknown Introduction to the t Distribution , Confidence Intervals for One Mean, Sigma is Unknown Estimating Mean When Sigma is Unknown Estimating Mean When Sigma is Unknown
Section 7.3 Finding Confidence Intervals for the Population Proportion Confidence Intervals for Population Proportions , Calculating Required Sample Size to Estimate Population Proportions The Sampling Distribution of the Sample Proportion , Inference for a Proportion , Determining the Minimum Sample Size Estimating p in the Binomial Distribution Estimating p in the Binomial Distribution Understanding and calculating confidence intervals for population proportions
Section 7.4 Independent and Dependent Samples, Confidence Intervals for Independent Samples t-Test , Confidence Intervals for Dependent Samples t-Test, Confidence Intervals for the Difference of Two Proportions Difference in Two Means, Difference in Two Proportions Estimating Difference in Two Means and in Two Proportions Interval Estimation Difference Between Two Means , Confidence intervals for the difference between two proportions, Confidence Interval for the Difference Between Proportions
Section 8.1 An Introduction to Hypothesis Testing An Introduction to Hypothesis Testing Introduction to Statistical Tests Introduction to Statistical Tests
Section 8.2 Testing for Mean, Sigma is Known, Testing for Mean, Sigma is Unknown One Sample z-Test, One Sample t-Test Z Tests for One Mean: Introduction, Z Tests for One Mean: The p-value, Z Tests for One Mean: An Example, One-Sided Test or Two-Sided Test?, t Tests for One Mean: Introduction, t Tests for One Mean: An Example Testing the Mean Testing the Mean
Section 8.3 Hypothesis Testing for Population Proportion One Sample z-Test for Proportions Inference for a Proportion: An Example of a Confidence Interval and a Hypothesis Test Testing a Proportion p Testing a Proportion p
Section 8.4 Dependent Samples t-Test Tests of Paired Differences
Section 8.5 z-Test for Proportions, Two Samples, Independent Samples t-Test An Introduction to Inference for Two Proportions Part 1, Part 2, Part 3
Section 9.1 Scatter Plots, Pearson's r Correlation Scatter Diagrams and Linear Correlation Scatter Diagrams and Linear Correlation
Section 9.3 Hypothesis Testing with Pearson's r Testing Correlation Coefficient
Section 9.2 Linear Regression and the Coefficient of Determination Linear Regression & Coefficient of Determination
Section 10.2 Chi-Square Test for Goodness of Fit An Introduction to the Chi-Square Distribution, Chi-square Tests for One-way Tables Chi Square Goodness of Fit Chi-Square Goodness of Fit Chi-Square Goodness of Fit
Section 10.1 Chi-Square Test for Independence Chi-square Tests of Independence (Chi-square Tests for Two-Way Tables) Chi Square: Test of Independence Chi-Square Tests of Independence and Homogeneity Chi Square Test for Independence