DSAI 303 • Final • Probability and Statistics for Data Science and Artificial Intelligence

Sample Mean

Sample Variance

Example 1

Central Limit Theorem

Example 2

Example 3

Example 4

Example 5

Example 6

Normal Approximation to Binomial Distribution

Normal Approximation to Poisson Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Reading T Table

Reading Chi Table

Reading F Table

Z Distribution

Example 1

Exam Like Question 1

Chi Square Distribution

Example 2

T Distribution

Example 3

Example 4

Exam Like Question 2

F Distribution

Example 5

Example 6

Z Distribution 1

Z Distribution 2

Z Distribution 3

Z Distribution 4

Z Distribution 5

Z Distribution 6

Z Distribution 7

Z Distribution 8

Z Distribution 9

Z Distribution 10

Normal Approximation to Binomial Distribution 1

Normal Approximation to Binomial Distribution 2

Normal Approximation to Binomial Distribution 3

T Distribution 1

T Distribution 2

T Distribution 3

Chi Square Distribution 1

Chi Square Distribution 2

Chi Square Distribution 3

Chi Square Distribution 4

F Distribution 1

F Distribution 2

All Distributions 1

All Distributions 2

Introduction

Terminology

Example 1

Example 2

Example 3

Exam Like Question 1

Exam Like Question 2

Exam Like Question 3

Introduction

Tests for Mean

Example 1

Example 2

Example 3

Example 4

Exam like Question 1

Exam like Question 2

Tests for Proportion

Example 5

Example 6

Exam like Question 3

Tests for Variances

Example 7

Example 8

Exam like Question 4

Tests for Difference Between Means

Example 1

Example 2

Example 3

Example 4

Exam like Question 1

Tests for Ratio of Two Variances

Example 5

Example 6

Exam like Question 2

Tests Among k Proportions

Example 7

Hypothesis Testing Basics 1

Hypothesis Testing Basics 2

Hypothesis Testing Basics 3

Testing for the Mean 1

Testing for the Mean 2

Testing for the Mean 3

Testing for the Mean 4

Testing for the Mean 5

Testing for the Mean 6

Testing for the Mean 7

Testing for the Mean 8

Testing for the Mean 9

Testing for the Mean 10

Testing for the Mean 11

Testing for Proportions 1

Testing for Variance 1

Testing for Variance 2

Testing for Difference Between Means 1 (Sigma known)

Testing for Difference Between Means 2 (Sigma known)

Testing for Difference Between Means 3 (Sigma known)

Testing for Difference Between Means 4 (Sigma known)

Testing for Difference Between Means 5 (Sigma unknown)

Testing for Ratio of Two Variances 1

Testing for Ratio of Two Variances 2

Testing for Differences of Proportions 1

Testing about Differences of Proportions 2

Regression Equations

Example 1

Example 2

Linear Regression

Example 3

Example 4

Example 5

Example 6

Errors in SLR

Example 7

Some Important Formulas

Slope Paremeter

Test for Slope Parameter

Confidence Interval for Slope Parameter

Example 8

Simple Linear Regression 1

Simple Linear Regression 2

Simple Linear Regression 3

Simple Linear Regression 4

Simple Linear Regression 5

Simple Linear Regression 6

Simple Linear Regression 7

Simple Linear Regression 8

Simple Linear Regression 9