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Math 2311
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Chapter 1
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Exploring Univariate Data
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1.1
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Types
of Data
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1.2
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Mean and
Median
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1.3
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Standard
Deviation and Variance
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1.4
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Range, IQR
and Finding Outliers
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1.5
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Graphs and
Describing Distributions
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Chapter 2
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Introduction to
Probability
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2.1
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Counting
Techniques, Combinations and Permuatations
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2.2
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Sets and Venn
Diagrams
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2.3
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Basic
Probability Models
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2.4
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General
Probability Rules
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Chapter
3
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Discrete
Distributions
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3.1
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Random Variables
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3.2
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Binomial Distributions
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3.3
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Geometric Distributions
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Chapter
4
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Continuous
Distributions
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4.1
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Density Curves
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4.2
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The Normal Distribution
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4.3
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Standard Normal Calculations
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4.4
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Sampling Distributions of
x̄ and p̂
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Chapter
5
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Bivariate
Data
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5.1
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Scatter Plots
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5.2
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Correlation
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5.3
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The Least Squares
Regression Line
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5.4
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Residuals
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5.5
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Non-Linear Models
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5.6
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Relations in
Categorical Data
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Chapter
6
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Samples and Experiments
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6.1
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Sampling
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6.2
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Designing Experiments
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6.3
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Simulating Experiments
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Chapter 7
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Estimation
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7.1
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Margins of Error and Estimates
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7.2
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Confidence Interval for a Proportion
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7.3
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Confidence Interval for the Difference of Two Proportions
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7.4
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Confidence Interval for a Mean
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7.5
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Confidence Interval for the Difference of Two Means
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Chapter 8
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Tests of Significance
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8.1
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Inference for the Mean of a Population
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8.2
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Inference for the Population Proportion
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Errors
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8.3
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Comparing Two Means
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8.4
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Comparing Two Proportions
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8.5
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Goodness of Fit Test
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8.6
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Inference for Two-way Tables Homogeneity vs. Independence
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Chapter 9
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Inference for Regression
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9.1
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Confidence Intervals for Regression Lines
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9.2
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Test for Slope of Regression Lines
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