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MATH 1160 – Introduction to Statistics: Course Structure and Key Topics

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Intro to Stats

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    Types of Data
    04:24
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    Parameters vs. Statistics
    05:53
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    Introduction to Statistics Channel
    2:13

Sampling Methods

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    Sampling Methods Example 2
    03:07
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    Simple Random Sampling Example 1
    01:30
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    Sampling Methods
    05:27

Levels of Measurement

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    Levels of Measurement
    06:52
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    Levels of Measurement Example 1
    02:46
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    Levels of Measurement Example 2
    02:46

Basic Concepts of Probability

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    Introduction to Probability
    5:37

Discrete Random Variables

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    Expected Value (Mean) of Random Variables
    04:14
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    Intro to Random Variables & Probability Distributions
    07:09
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    Variance & Standard Deviation of Discrete Random Variables
    04:48

Binomial Distribution

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    Finding Binomial Probabilities Using TI-84 Example 1
    03:33
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    Finding Binomial Probabilities Using TI-84 Example 2
    04:20
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    Mean & Standard Deviation of Binomial Distribution
    03:28

Sampling Distribution of the Sample Mean and Central Limit Theorem

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    Central Limit Theorem Example 1
    02:33
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    Central Limit Theorem
    05:14
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    Sampling Distribution of Sample Mean
    06:53

Introduction to Confidence Intervals

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    Critical Values: z Scores
    04:46
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    Introduction to Confidence Intervals
    06:33

Steps in Hypothesis Testing

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    Step 4: State Conclusion
    09:56
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    Step 2: Calculate Test Statistic
    06:34
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    Step 1: Write Hypotheses
    06:21

Performing Hypothesis Tests: Proportions

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    Performing Hypothesis Tests: Proportions
    05:52
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    Performing Hypothesis Tests: Proportions Example 1
    07:06
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    Performing Hypothesis Tests: Proportions Using TI-84
    03:32

Performing Hypothesis Tests: Means

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    Standard Deviation (σ) Unknown Example 3
    05:55
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    Standard Deviation (σ) Known Example 1
    06:38
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    Standard Deviation (σ) Known
    06:34

Scatterplots & Intro to Correlation

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    Scatterplots & Intro to Correlation Example 1
    05:14
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    Scatterplots & Intro to Correlation
    06:36
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    Creating Scatterplots - Graphing Calculator
    05:26

Linear Regression & Least Squares Method

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    Using Regression Lines to Predict Values
    04:57
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    Intro to Least Squares Regression Example 1
    05:02
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    Intro to Least Squares Regression
    07:01

Residuals

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    Residuals and Residual Plots
    07:38

Goodness of Fit Test

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    Goodness of Fit Test: Unequal Probabilities
    05:24
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    Goodness of Fit Test Example 1
    08:49
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    Goodness of Fit Test
    10:17

Chi Square Distribution

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    Critical Values: Chi Square Distribution Example 2
    05:18
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    Critical Values: Chi Square Distribution Example 1
    03:55
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    Critical Values: Chi Square Distribution
    05:39