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Math 105: Basic Probability and Statistics – Course Syllabus and Study Guide

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Stemplots (Stem-and-Leaf Plots)

  • Guided course
    Stemplots Example 1
    06:09
  • Guided course
    Creating Stemplots
    06:23

Histograms

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

Boxplots

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

Mean

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

Median

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

Mode

  • Guided course
    Mode
    03:20

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

Sampling Methods

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

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

Confidence Intervals for Population Proportion

  • Guided course
    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

  • 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

Performing Hypothesis Tests: Proportions

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

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

Scatterplots & Intro to Correlation

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

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

Inferences for Slope

  • Guided course
    Confidence Interval for the Slope of a Regression Line Example 5
    02:31
  • Guided course
    Confidence Interval for the Slope of a Regression Line Example 4
    02:47
  • Guided course
    Hypothesis Test for the Slope of a Regression Line Example 3
    04:13

Prediction Intervals

  • Guided course
    Prediction Intervals
    09:00

Basic Concepts of Probability

  • Guided course
    Introduction to Probability
    5:37