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MATH 158: Introductory Data Analysis Syllabus – Key Topics and Structure

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Intro to Stats

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

Sampling Methods

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

Histograms

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    Intro to Histograms
    05:54
  • Guided course
    How to Create Histogram - TI-84 Calculator
    07:10

Addition Rule

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    Probability of Mutually Exclusive Events
    5:14
  • Guided course
    Probability of Non-Mutually Exclusive Events Example
    2:57
  • Guided course
    Probability of Non-Mutually Exclusive Events
    5:14

Multiplication Rule: Independent Events

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    Probability of Multiple Independent Events
    05:54

Multiplication Rule: Dependent Events

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    Conditional Probability Rule Example 1
    03:06
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    Multiplication Rule: Dependent Events
    05:17
  • Guided course
    Conditional Probability Rule
    03:53

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

Confidence Intervals for Population Mean

  • Guided course
    Finding t-Values Using a TI-84
    05:47
  • Guided course
    Critical Values: t-Distribution
    05:50
  • Guided course
    Finding Confidence Intervals Using TI-84
    04:30

Confidence Intervals for Population Proportion

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    Constructing Confidence Intervals for Proportions Example 1
    06:38
  • Guided course
    Finding the Minimum Sample Size Needed for a Confidence Interval
    04:08
  • Guided course
    Constructing Confidence Intervals for Proportions Example 2
    04:24

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: Means

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

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
  • Guided course
    Performing Hypothesis Tests: Proportions Using TI-84
    03:32

Binomial Distribution

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