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Elementary Statistical Methods (MATH 1342) – Syllabus and Course Structure

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Intro to Stats

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

Sampling Methods

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

Visualizing Qualitative vs. Quantitative Data

  • Percorso guidato
    Visualizing Qualitative vs. Quantitative Data
    04:39

Mean

  • Percorso guidato
    Calculating the Mean
    04:52
  • Percorso guidato
    Calculating the Mean Example 1
    03:08

Median

  • Percorso guidato
    Comparing Mean vs. Median
    04:48
  • Percorso guidato
    Calculating the Median Example 1
    02:35
  • Percorso guidato
    Calculating the Median
    03:26

Mode

  • Percorso guidato
    Mode
    03:20

Standard Deviation

  • Percorso guidato
    Calculating Standard Deviation
    08:45
  • Percorso guidato
    Calculating Standard Deviation Example 1
    02:59

Boxplots

  • Percorso guidato
    Boxplots Example 1
    01:52
  • Percorso guidato
    Boxplots Example 2
    02:48
  • Percorso guidato
    Boxplots ("Box and Whisker Plots")
    03:54

Scatterplots & Intro to Correlation

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

Correlation Coefficient

  • Percorso guidato
    Correlation Coefficient
    05:43
  • Percorso guidato
    Calculating Correlation Coefficient - Graphing Calculator
    04:40
  • Percorso guidato
    Calculating Correlation Coefficient - Graphing Calculator Example 1
    03:44

Linear Regression & Least Squares Method

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

Basic Concepts of Probability

  • Percorso guidato
    Introduction to Probability
    5:37

Complements

  • Percorso guidato
    Complementary Events
    4:23

Addition Rule

  • Percorso guidato
    Probability of Mutually Exclusive Events
    5:14
  • Percorso guidato
    Probability of Non-Mutually Exclusive Events Example
    2:57
  • Percorso guidato
    Probability of Non-Mutually Exclusive Events
    5:14

Multiplication Rule: Independent Events

  • Percorso guidato
    Probability of Multiple Independent Events
    05:54

Discrete Random Variables

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

Binomial Distribution

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

Standard Normal Distribution

  • Percorso guidato
    Z-Scores from Probabilities
    08:50
  • Percorso guidato
    Probabilities Between Two Values
    03:50
  • Percorso guidato
    Finding Standard Normal Probabilities using z-Table
    09:47

Sampling Distribution of the Sample Mean and Central Limit Theorem

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

Introduction to Confidence Intervals

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

Confidence Intervals for Population Mean

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

Confidence Intervals for Population Proportion

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

Steps in Hypothesis Testing

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

Performing Hypothesis Tests: Means

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

Performing Hypothesis Tests: Proportions

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

Type I & Type II Errors

  • Percorso guidato
    Type I & Type II Errors Example 1
    03:21
  • Percorso guidato
    Type I & Type II Errors
    06:02