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Statistics Course Syllabus and Topical Outline – Kankakee Community College (MATH 1774)

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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

Levels of Measurement

  • Percorso guidato
    Levels of Measurement
    06:52
  • Percorso guidato
    Levels of Measurement Example 1
    02:46
  • Percorso guidato
    Levels of Measurement Example 2
    02:46

Intro to Collecting Data

  • Percorso guidato
    Introduction to Collecting Data
    4:01

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

Frequency Distributions

  • Percorso guidato
    Intro to Frequency Distributions Example 1
    06:19
  • Percorso guidato
    How to Create Frequency Distributions
    06:29
  • Percorso guidato
    Intro to Frequency Distributions
    06:38

Histograms

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

Bar Graphs and Pareto Charts

  • Percorso guidato
    Bar Graphs and Pareto Charts Example 1
    05:26
  • Percorso guidato
    Creating Bar Graphs and Pareto Charts
    04:52

Pie Charts

  • Percorso guidato
    Creating Pie Charts
    06:10
  • Percorso guidato
    Pie Charts Example 1
    01:18

Frequency Polygons

  • Percorso guidato
    Creating Frequency Polygons
    04:41
  • Percorso guidato
    Frequency Polygons Example 1
    04:15

Dot Plots

  • Percorso guidato
    Creating Dotplots
    04:01

Stemplots (Stem-and-Leaf Plots)

  • Percorso guidato
    Stemplots Example 1
    06:09
  • Percorso guidato
    Creating Stemplots
    06:23

Time-Series Graph

  • Percorso guidato
    Time-Series Graphs Example 1
    04:36
  • Percorso guidato
    Creating Time-Series Graphs
    04:13

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

Percentiles & Quartiles

  • Percorso guidato
    Percentiles and Quartiles Example 1
    04:30
  • Percorso guidato
    Percentiles and Quartiles
    07:11

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

Basic Concepts of Probability

  • Percorso guidato
    Introduction to Probability
    5:37

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

Fundamental Counting Principle

  • Percorso guidato
    Fundamental Counting Principle
    04:04

Counting

  • Percorso guidato
    Introduction to Permutations
    07:11
  • Percorso guidato
    Permutations of Non-Distinct Objects
    06:37
  • Percorso guidato
    Counting Example 1
    03:59

Introduction to Contingency Tables

  • Percorso guidato
    Introduction to Contingency Tables
    05:35
  • Percorso guidato
    Introduction to Contingency Tables Example 2
    03:05
  • Percorso guidato
    Introduction to Contingency Tables Example 1
    04:15

Multiplication Rule: Dependent Events

  • Percorso guidato
    Conditional Probability Rule Example 1
    03:06
  • Percorso guidato
    Multiplication Rule: Dependent Events
    05:17
  • Percorso guidato
    Conditional Probability Rule
    03:53

Bayes' Theorem

  • Percorso guidato
    Bayes' Theorem Example 1
    02:32
  • Percorso guidato
    Bayes' Theorem
    05:10

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

Poisson Distribution

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

Uniform Distribution

  • Percorso guidato
    Uniform Distribution
    06:06
  • Percorso guidato
    Uniform Distribution Example 1
    02:50

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

Non-Standard Normal Distribution

  • Percorso guidato
    Finding Z-Scores for Non-Standard Normal Variables Example 1
    06:21
  • Percorso guidato
    Finding Values of Non-Standard Normal Variables from Probabilities
    04:05
  • Percorso guidato
    Finding Z-Scores for Non-Standard Normal Variables
    03:17

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

Sampling Distribution of Sample Proportion

  • Percorso guidato
    Sampling Distribution of Sample Proportion
    05:11
  • Percorso guidato
    Using the Normal Distribution to Approximate Binomial Probabilities Example 1
    03:21
  • Percorso guidato
    Using the Normal Distribution to Approximate Binomial Probabilities
    06:23

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

Two Proportions

  • Percorso guidato
    Difference in Proportions: Confidence Intervals
    08:09
  • Percorso guidato
    Two Proportions Inferences Using a TI-84 Example 3
    05:32
  • Percorso guidato
    Difference in Proportions: Hypothesis Tests Example 1
    10:28

Two Means - Unknown, Unequal Variance

  • Percorso guidato
    Difference in Means: Hypothesis Tests Example 1
    07:32
  • Percorso guidato
    Difference in Means: Confidence Intervals Using TI-84 Example 4
    03:33
  • Percorso guidato
    Difference in Means: Confidence Intervals
    08:21

Two Means - Unknown, Equal Variance

  • Percorso guidato
    Means Unknown Equal Variances Hypothesis Test Using TI-84
    06:20
  • Percorso guidato
    Means Unknown Equal Variances Hypothesis Test Using TI-84 Example 2
    03:34
  • Percorso guidato
    Means Unknown Equal Variances Hypothesis Test Using TI-84 Example 1
    03:10

Two Means - Known Variance

  • Percorso guidato
    Means Known Variances Hypothesis Test Using TI-84 Example 2
    02:44
  • Percorso guidato
    Means Known Variances Hypothesis Test Using TI-84
    05:05
  • Percorso guidato
    Means Known Variances Hypothesis Test Using TI-84 Example 1
    02:51

Two Means - Matched Pairs (Dependent Samples)

  • Percorso guidato
    Matched Pairs: Hypothesis Tests
    07:23
  • Percorso guidato
    Matched Pairs: Confidence Intervals
    07:19
  • Percorso guidato
    Introduction to Matched Pairs
    08:33

Goodness of Fit Test

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

Contingency Tables

  • Percorso guidato
    Contingency Tables & Expected Frequencies
    08:18

Independence Tests

  • Percorso guidato
    Independence Test
    06:28
  • Percorso guidato
    Independence Test Example 1
    08:07

Homogeneity Tests

  • Percorso guidato
    Homogeneity Test
    05:27
  • Percorso guidato
    Homogeneity Test Example 1
    06:28

Introduction to ANOVA

  • Percorso guidato
    ANOVA Test
    05:31
  • Percorso guidato
    ANOVA Test Using TI-84
    04:58
  • Percorso guidato
    ANOVA Test Using TI-84 Example 1
    02:43

Multiple Comparisons: Tukey Test

  • Percorso guidato
    Tukey Test
    08:22
  • Percorso guidato
    Tukey Test Example 1
    05:55

Multiple Comparisons: Tukey-Kramer Test

  • Percorso guidato
    Tukey-Kramer Test Example 1
    06:42
  • Percorso guidato
    Tukey-Kramer Test
    09:08

Multiple Comparisons: Bonferoni Test

  • Percorso guidato
    The Bonferroni Test Example 1
    08:11
  • Percorso guidato
    The Bonferroni Test
    09:54

Two-Way ANOVA

  • Percorso guidato
    Intro to Two-Way ANOVA & Two-Way Tables
    08:17
  • Percorso guidato
    Intro to Two-Way ANOVA & Two-Way Tables Example 1
    05:00
  • Percorso guidato
    Two-Way ANOVA: Interaction Plots
    06:35

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

Residuals

  • Percorso guidato
    Residuals and Residual Plots
    07:38

Coefficient of Determination

  • Percorso guidato
    Coefficient of Determination
    06:14

Inferences for Slope

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

Prediction Intervals

  • Percorso guidato
    Prediction Intervals
    09:00

Quadratic Regression

  • Percorso guidato
    Quadratic Regression Using TI-84
    07:11