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MA121: Introduction to Statistics
Sections
Course Introduction
Course Syllabus
Unit 1: Statistics and Data
Unit 2: Elements of Probability and Random Variables
Unit 3: Sampling Distributions
Unit 4: Estimation with Confidence Intervals
Unit 5: Hypothesis Test
Unit 6: Linear Regression
Study Guide
Course Feedback Survey
Certificate Final Exam
Saylor Direct Credit
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MA121: Introduction to Statistics
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Mathematics
MA121: Introduction to Statistics
Sections
Unit 5: Hypothesis Test
5.1: Elements of Hypothesis Testing
5.1.3: Steps in Hypothesis Testing and Its Relation to Confidence Intervals
Steps and Confidence Intervals in Hypothesis Testing
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Steps and Confidence Intervals in Hypothesis Testing
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This section lists four key steps in hypothesis testing and explains the close relationship between confidence intervals and significance tests.
Significance Testing and Confidence Intervals
Video
https://onlinestatbook.com/movies/logic_of_hypothesis_testing/sign_conf.mp4
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Course Syllabus
What are Statistics?
Descriptive and Inferential Statistics
Basic Definitions and Concepts
Variables and Data Collection
Presenting Data
Graphing
Three Popular Data Displays
Numerical Measures of Central Tendency and Variability
Measures of Central Location
Mean, Median, Mode, and Variance
Percentiles
Scatterplots and Bivariate Data
Pearson's r
Unit 1 Assessment
Introduction to Probability
Basic Concepts of Probability
Permutations and Combinations
The Addition Rule for Probability with a Venn Diagram Example
Random Variables and Probability Distributions
Binomial Distributions
Binomial, Poisson, and Multinomial Distributions
The Standard Normal Distribution
More on Normal Distributions
Introduction to the Normal Distribution
Unit 2 Assessment
Continuous Random Variables
Introduction to Sampling Distributions
Wolfram Demonstrations Project
The Sampling Distribution of a Sample Mean
The Mean, Standard Deviation, and Sampling Distribution of the Sample Mean
Sampling Distribution
Sampling Distribution of r
Sampling Distribution of p
Standard Deviation
Unit 3 Assessment
Basic Sample Statistics and Parameters
Characteristics of Estimators
Confidence Intervals for the Mean
Demonstration: Confidence Intervals for a Mean
t Distribution Demonstration
Comparing Normal and Student's t-Distributions
Confidence Intervals for Correlation and Proportion
Confidence Intervals
Unit 4 Assessment
Setting Up Hypotheses
The Observed Significance of a Test
Results
Hypothesis Testing with One Sample
More on Hypothesis Testing
Testing a Single Mean
Sample Tests for a Population Mean
The Difference between Two Means
Difference of Means
Contingency Tables
Chi-Square Distributions and Goodness of Fit
More on Chi-square Distributions
Comparing Population Proportions
Unit 5 Assessment
Introduction to Linear Regression
Linear Regression
Correlation
The Linear Correlation Coefficient
Partitioning Sums of Squares
Regression Lines
Standard Error of the Estimate
Inferential Statistics for b and r
Statistical Inference about Slope
Influential Observations
A Complete Example
ANOVA
More on ANOVA
Unit 6 Assessment
MA121 Study Guide
Course Feedback Survey
MA121: Certificate Final Exam
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