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Essential Tables and Formulas for College Statistics

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Frequency Distributions

  • Guided course
    Intro to Frequency Distributions Example 1
    06:19
  • Guided course
    How to Create Frequency Distributions
    06:29
  • Guided course
    Intro to Frequency Distributions
    06:38

Mean

  • Guided course
    Calculating the Mean
    04:52
  • Guided course
    Calculating the Mean Example 1
    03:08

Standard Deviation

  • Guided course
    Calculating Standard Deviation
    08:45
  • Guided course
    Calculating Standard Deviation Example 1
    02:59

Interpreting Standard Deviation

  • Guided course
    Empirical Rule of Standard Deviation and Range Rule of Thumb Example 1
    05:42
  • Guided course
    Empirical Rule of Standard Deviation and Range Rule of Thumb Example 2
    01:56
  • Guided course
    Empirical Rule of Standard Deviation and Range Rule of Thumb
    07:10

Percentiles & Quartiles

  • Guided course
    Percentiles and Quartiles Example 1
    04:30
  • Guided course
    Percentiles and Quartiles
    07:11

Correlation Coefficient

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

Linear Regression & Least Squares Method

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

Residuals

  • Guided course
    Residuals and Residual Plots
    07:38

Coefficient of Determination

  • Guided course
    Coefficient of Determination
    06:14

Basic Concepts of Probability

  • Guided course
    Introduction to Probability
    5:37

Complements

  • Guided course
    Complementary Events
    4:23

Addition Rule

  • Guided course
    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

  • Guided course
    Probability of Multiple Independent Events
    05:54

Multiplication Rule: Dependent Events

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

Discrete Random Variables

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

Binomial Distribution

  • Guided course
    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

Poisson Distribution

  • Guided course
    Introduction to the Poisson Distribution
    04:00
  • Guided course
    Finding Poisson Probabilities Using TI-84
    03:37
  • Guided course
    Using the Poisson Distribution to Approximate the Binomial Distribution
    04:09

Standard Normal Distribution

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

Sampling Distribution of the Sample Mean and Central Limit Theorem

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

Introduction to Confidence Intervals

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

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

Determining the Minimum Sample Size Required

  • Guided course
    Determining the Minimum Sample Size Required
    06:51

Steps in Hypothesis Testing

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

Performing Hypothesis Tests: Means

  • Guided course
    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

Critical Values and Rejection Regions

  • Guided course
    Critical Values and Rejection Regions
    06:25
  • Guided course
    Performing Hypothesis Test with Critical Values Example 1
    03:32
  • Guided course
    Performing Hypothesis Test with Critical Values
    05:37

Type I & Type II Errors

  • Guided course
    Type I & Type II Errors Example 1
    03:21
  • Guided course
    Type I & Type II Errors
    06:02

Goodness of Fit Test

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

Chi Square Distribution

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