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Introduction | |
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What is Statistics? | |
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Statistics in Our Everyday Life | |
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Statistics in Aid of Scientific Inquiry | |
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Two Basic Concepts- Population and Sample | |
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The Purposeful Collection of Data | |
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Statistics in Context | |
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Objectives of Statistics | |
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Review Exercises. | |
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Organization and Description of Data | |
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Introduction | |
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Main Types of Data | |
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Describing Data by Tables and Graphs | |
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Measures of Center | |
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Measures of Variation | |
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Checking the Stability of the Observations over Time | |
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More on Graphics | |
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Statistics in Context | |
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Review Exercises | |
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Descriptive Study of Bivariate Data | |
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Introduction | |
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Summarization of Bivariate Categorical Data | |
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A Designed Experiment for Making a Comparison | |
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Scatter Diagram of Bivariate Measurement Data | |
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The Correlation Coefficient- A Measure of Linear Relation | |
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Prediction of One Variable from Another (Linear Regression) | |
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Review Exercises | |
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Probability | |
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Introduction | |
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Probability of an Event | |
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Methods of Assigning Probability | |
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Event Relations and Two Laws of Probability | |
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Conditional Probability and Independence | |
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Random Sampling from a Finite Population | |
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Review Exercises | |
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Probability Distributions | |
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Introduction | |
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Random Variables | |
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Probability Distribution of a Discrete Random Variable | |
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Expectation (Mean) and Standard Deviation of a Probability Distribution | |
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Success and Failures- Bernoulli Trials | |
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The Binomal Distribution | |
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The Binomal Distribution in Context | |
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Review Exercises | |
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The Normal Distribution | |
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Probability Model for a Continuous Random Variable | |
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The Normal Distribution-Its General Features | |
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The Standard Normal Distribution | |
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Probability Calculations with Normal Distributions | |
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The Normal Approximation to the Binomial | |
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Checking the Plausibility of a Normal Model | |
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Transforming Observations to Attain Near Normality | |
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Review Exercises | |
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Variation in Repeated Samples-Sampling Distribution | |
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Introduction | |
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The Sampling Distribution of a Statistic | |
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Distribution of the Sample Mean and the Central Limit Theorem | |
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Statistics in Context | |
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Review Exercises | |
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Drawing Inferences From Large Samples | |
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Introduction | |
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Point Estimation of Population Mean | |
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Confidence Interval for a Population Mean | |
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Testing Hypotheses about a Population Mean | |
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Inferences about a Population Proportion | |
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Review Exercises | |
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Small-Sample Inferences for Normal Populations | |
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Introduction | |
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Independent Random Samples from Two Populations | |
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Inferences about -Small Sample Size | |
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Relationship between Tests and Confidence Intervals | |
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Inferences about Standard Deviation (The Chi-Square D | |