Statistics Class Notes

You should print out the Class Notes and complete them as you watch the videos. When no video is available, I have included a copy of my completed Notes in PDF form. I am creating these as I go so please be patient. For in-person classes, you will be provided a copy of the Class Notes and we will complete them together.

Many Class Notes are copied from the General Education Statistics (Math 145) Class Notes I have made previously. I have not yet bothered to rename them in the files. Do not worry about that please.

Name of Section

* Videos for individual sections from chapters 1-3 can be found under Math 145 Class Notes.

Section of Michael Sullivan's Statistics: Informed Decisions Using Data, 6th edition

Chapter 1: An Introduction (Sections 1.1-1.6)

Completed PDF version of Notes (Fall 2024)* I have since rearranged some and fixed typos.

1.1-1.6

Chapter 2: Data Displays (2.1-2.4)

Completed PDF version of Notes (Fall 2024)* I have since removed a thought bubble.

2.1-2.4

Chapter 3: Measures of Center, Dispersion, and Position (Sections 3.1, 3.2, 3.4, 3.5)

Completed PDF version of Notes (Fall 2024)* I have since rearranged some and fixed typos.

3.1, 3.2, 3.4, 3.5
Scatter Diagrams and Correlation
MP4 Video (I have since added a word to examples 2 and 3, bolded a paragraph on page 6, and delated two worksheets. You may disregard example 1 if you do not need it.)
4.1
Least-Squares Regression
MP4 Video
4.2

Diagnostics on the Least-Squares Regression Line: The Coefficient of Determination and Residual Analysis

Completed PDF version of Notes (Fall 2024)

4.3

Contingency Tables and Association

Completed PDF version of Notes (Fall 2024) (I have since increased the size of tables and made slight rewording changes, including correcting a typo in question 3a.)

4.4
Introduction to Probability (You can skip example 9.)
MP4 Video (The Notes have since changed a slight bit. The examples from 4 on are renumbered.)
5.1

The Addition Rule (for “OR” events) and Complements
MP4 Video (The Notes have since changed a bit.)

Completed PDF version of Notes (Fall 2024)

5.2
Independent Events and the Multiplication Rule
MP4 Video (A sentence explaining F and F^C has since been added to page 5.)
5.3
Conditional Probability
MP4 Video (The Notes have since changed a bit.)
5.4
Counting Techniques: Combinations and Permutations
MP4 Video (The Notes have since changed a bit.)
5.5
Discrete Random Variables
MP4 Video
6.1
The Binomial Probability Distribution
MP4 Video (The Notes have since changed a bit.)
6.2
The Normal Probability Distribution
MP4 Video
7.1

Applications of the Normal Distribution
MP4 Video (The Notes have since changed a bit.)

Completed PDF version of updated Notes (Fall 2024) (I have amended example 6 and the instructions at the bottom of page 5.)

7.2
Assessing Normality
MP4 Video: https://expl.ai/FYBZTXW
7.3

Distribution of the Sample Mean
MP4 Video (I have since added a paragraph at the end explaining how to deal with population data if it is given to you.)

8.1

Distribution of the Sample Proportion
MP4 Video
(I have since added one example and changed a bit of wording.)

Completed PDF version of updated Notes (Fall 2023)

8.2

Confidence Intervals for Population Proportions
MP4 Video (I have since added one example.)

Completed PDF version of updated Notes (Fall 2023)

9.1

Confidence Intervals for Population Means

Completed PDF version of Notes (Fall 2023)

9.2

Introduction to Hypothesis Testing

MP4 Video (I have since added a definition and optional worksheet on page 6.)

10.1

Hypothesis Tests for Population Proportions

MP4 Video (I have since deleted example 3, replacing it with a table to better explain P-value. I added technology instructions and renumbered examples 4 and 5. I deleted example 6 and added a discussion of p-hacking.)

Completed PDF version of updated Notes (Fall 2024)

10.2

Hypothesis Tests for Population Means

Completed PDF version of Notes (Fall 2024)

10.3

Inference about Two Population Proportions: Independent Sampling

Completed PDF Version of Notes (Fall 2024)

11.1

Inference about Two Means: Dependent Samples

Completed PDF Version of Notes (Fall 2024)

11.2

Inference about Two Means: Independent Samples

Completed PDF Version of Notes (Fall 2024) (I have since added instructions for MSL problem 11.3.17T and a silly addition to example 2.)

11.3

Goodness-of-Fit Test: Testing a Population’s Distribution

Completed PDF Version of Notes (Fall 2024) (I have since rearranged parts a and b and fixed a typo in part c of example 1.)

12.1

Tests for Independence and the Homogeneity of Proportions

Completed PDF Version of Notes (Fall 2024)

12.2

ANOVA: Comparing Three or More Means

Completed PDF Version of Notes (Fall 2024)

13.1

ANOVA: The Tukey Test: A Post Hoc Test

Completed PDF Version of Notes (Fall 2024) (I have since relabeled the process on page 2 to indicate it is for when you do it by hand. I added the word "sample" to the means column in example 1.)

13.2
  14.3