Math 145 Class Notes

General Education Statistics Class Notes

You should print out the Class Notes and complete them as you watch the videos. For in-person classes, you will be provided a copy of the Class Notes and we will complete them together.

Name of Section		Section of Michael Sullivan's Fundamentals of Statistics, 6th edition
Introduction to the Practice of Statistics MP4 Video		1.1
Observational Studies versus Designed Experiments MP4 Video		1.2
Simple Random Sampling MP4 Video		1.3
Other Sampling Methods MP4 Video (An offensive, outmoded word was replaced in a thought bubble. I am sorry for any hurt caused.)		1.4
Bias in Sampling MP4 Video (An introductory example at the beginning of the Notes has since been added.)		1.5
The Design of Experiments MP4 Video		1.6
Organizing Qualitative Data MP4 Video (A review of inferential and descriptive statistics has since been added.)		2.1
Organizing Quantitative Data MP4 Video (Definitions and examples were since added and some rearranged. Split-stem stemplots were deleted.)		2.2
Graphical Misrepresentations of Data MP4 Video		2.3
Measures of Central Tendency: Mean, Median, and Mode MP4 Video (Slight changes were since made.)		3.1
Measures of Dispersion: Range, Standard Deviation, and Variance MP4 Video (Slight changes were since made.)		3.2
Measures of Position and Outliers: Z-scores, Percentiles, Quartiles, and Interquartile Range MP4 Video (An example about ogives was since added at the end. Here is a copy of my written Notes for this page.)		3.4
The Five-Number Summary and Boxplots MP4 Video		3.5
Scatter Diagrams and Correlation MP4 Video (I have since added a word to examples 2 and 3 and bolded a paragraph on page 6.)		4.1
Least-Squares Regression MP4 Video		4.2
The Coefficient of Determination MP4 Video		4.3
Introduction to Probability 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.)		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.)		7.2
Assessing Normality MP4 Video: https://expl.ai/FYBZTXW		7.3
Distribution of the Sample Mean MP4 Video: https://expl.ai/PSELLBS		8.1
Distribution of the Sample Proportion MP4 Video: https://expl.ai/ZNMSRBL (I have since added one example and changed a bit of wording.) Completed version of Notes (Fall 2023)		8.2
Confidence Intervals for Population Proportions MP4 Video: https://expl.ai/WKYZQDR (I have since added one example.) Completed version of Notes (Fall 2023)		9.1
Confidence Intervals for Population Means Completed version of Notes (Fall 2023)		9.2
Introduction to Hypothesis Testing MP4 Video		10.1
Hypothesis Tests for Population Proportions MP4 Video		10.2
Hypothesis Tests for Population Means		10.3