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Preface | |
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The Nature of Probability and Statistics | |
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Introduction | |
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Descriptive and Inferential Statistics | |
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Variables and Types of Data | |
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Data Collection and Sampling Techniques | |
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Observational and Experimental Studies | |
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Uses and Misuses of Statistics | |
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Computers and Calculators | |
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Summary | |
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Frequency Distributions and Graphs | |
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Introduction | |
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Organizing Data | |
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Histograms, Frequency Polygons, and Ogives | |
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Other Types of Graphs | |
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Paired Data and Scatter Plots | |
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Summary | |
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Data Description | |
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Introduction | |
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Measures of Central Tendency | |
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Measures of Variation | |
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Measures of Position | |
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Exploratory Data Analysis | |
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Summary | |
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Probability and Counting Rules | |
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Introduction | |
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Sample Spaces and Probability | |
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The Addition Rules for Probability | |
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The Multiplication Rules and Conditional Probability | |
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Counting Rules | |
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Probability and Counting Rules | |
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Summary | |
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Discrete Probability Distributions | |
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Introduction | |
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Probability Distributions | |
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Mean, Variance, Standard Deviation, and Expectation | |
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The Binomial Distribution | |
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Summary | |
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The Normal Distribution | |
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Introduction | |
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Properties of the Normal Distribution | |
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The Standard Normal Distribution | |
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Applications of the Normal Distribution | |
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The Central Limit Theorem | |
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The Normal Approximation to the Binomial Distribution | |
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Summary | |
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Confidence Intervals and Sample Size | |
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Introduction | |
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Confidence Intervals for the Mean (Sigma Known or n > 30) and Sample Size | |
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Confidence Intervals for the Mean (Sigma Unknown and n< 30) | |
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Confidence Intervals and Sample Size for Proportions | |
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Confidence Intervals for Variances and Standard Deviations | |
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Summary | |
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Hypothesis Testing | |
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Introduction | |
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Steps in Hypothesis Testing – Traditional Method | |
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z Test for a Mean | |
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t Test for a Mean | |
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z test for a Proportion | |
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Chi-Square Test for a Variance or Standard Deviation | |
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Confidence Intervals and Hypothesis Testing | |
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Summary | |
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Testing the Difference Between Two Means, Two Variances, and Two Proportions | |
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Introduction | |
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Testing the Difference Between Two Means: Large Samples | |
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Testing the Difference Between Two Variances | |
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Testing the Difference Between Two Means: Small Independent Samples | |
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Testing the Difference Between Two Means: Small Dependent Samples | |
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Testing the Difference Between Two Proportions | |
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Summary Hypothesis Testing Summary | |
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Correlation and Regression | |
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Inroduction | |
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Correlation | |
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Regression | |
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Coefficient of Determination and Standard Error of the Estimate | |
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Summary | |
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Chi-Square and Analysis of Variance (ANOVA) | |
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Introduction | |
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Test for Goodness of Fit | |
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Tests Using Contingency Tables | |
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Analysis of Variance (ANOVA) | |
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Summary Hypothesis Testing | |
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Summary | |