Stat 300 Materials

The lectures and homework may contain some typos. Edits of the material are on going.

Stat 300 Syllabus Summer 2018

Stat 300 Book Corrections

Stat 300 Syllabus Fall Spring 2018

Chapter 1 Introduction to Statistics Lectures

1 -1: Introduction to Descriptive Statistics Lecture

1 -2: Data Types Lecture

1 -3 Observational Studies and Experiments Lecture

Chapter 1 Review

Chapter 2 Summarizing Data Lectures

2-1A: Frequency Tables Lecture

2-1B: Class Frequency Tables Lecture

2-1C: Relative Frequency Tables Lecture

2-1D: Cumulative Frequency Tables Lecture

2-2A: Histograms Graphs Lecture

2-2B: Normal Relative Histograms Lecture e

2-2C: Normal Distributions and Normal Histograms Lecture

2-3A: Frequency Polygons Lecture

2-3B: Cumulative Frequency Line Graphs Lecture

2-4: Special Graphs Lecture

Chapter 2 Review

Chapter 3 Numerical Measures of Data Lectures

3-1A: TI30 IIS Calculator Intro Lecture

3-1B: Finding the Mean and Standard Deviation Lecture

3-1C: Finding the Mode and Median Lecture

3-2A: The Empirical Rule and the meaning of Standard Deviation Lecture

3-2B: Chebyshev's Rule and Standard Deviation Lecture

3-3A: Z Scores Lecture Lecture

3-3B: Relative Position and Percentiles

Chapters 1 ,2 and 3 Review

Chapters 1 ,2 and 3 Test Notes

Chapter 4 Probability Lectures

4 -1A: Basic Probability Introduction Lecture

4 -1B: Basic Probability Lecture

4 -1C: Basic Probability Examples

4 -2A: Conditional Probability Introduction

4 -2B: Probability And (Independent Case)

4 -2C: P(A | B) P(A given B)

4 -2D: Probability And (Dependent Case)

4 -3A Contingency Table Intro Lecture

4 -3B Contingency Table AND OR Notation Introduction

4 -3C Contingency Table AND OR Probability Examples

4 -3D Contingency Table Complement Notation Lecture

4 -3E Contingency Table Given Notation Lecture

4 -4A Venn Diagrams Introduction

4 -4B 3 Circle Venn Diagrams

4 -5 Counting Techniques Lecture

4 -6A: Factorials Lecture

4 -6B: Permutations Lecture

4 -6C: Combinations Lecture

Chapter 4 Notes

Chapter 5 Probability Distributions Lectures

5-1A Lecture: Discrete Probability Distributions Introduction

5-1B Lecture: Discrete Probability Distributions Tables

5-1C Lecture: Probability Distributions Tables Mean and Standard Deviation

5-1D Lecture: Expected Value Tables

5-2A Lecture: Binomial Probability Distributions

5-2B Lecture: Binomial Probabilities without a table

5-3 Lecture: The Mean and Standard Deviation of Binomial Probability Distributions

Chapter 5 Notes

Chapter 4 and 5 Test Notes

Chapter 6 Normal Probability Distributions Lectures

6-1A Lecture: Discrete to Continuous Probability Distributions Introduction

6-1B Lecture: Normal or Bell Shaped Distributions

6-2A Lecture: Normal Probability Distributions Introduction

6-2B Lecture: Interpreting the Area Under a Normal Distribution

6-3A Lecture: Standard Normal Distributions Introduction

6-3B Lecture: Finding probabilities involving Z scores

6-3C Lecture: Finding the Z value (Z score) given an area in either tail

6-4A Lecture: Converting x in a Normal Distribution to z in a Standard Normal Distribution

6-4B Lecture: The relationship between P(z) and P(z)

6-4C Lecture: Finding probabilities involving Normal Distributions of x

6-4D Lecture: Finding an x value given a tail area

6-5 Lecture: Finding probabilities involving Normal Distributions of x (applications)

6-6 Lecture: Central Limit Theorem Intro Lecture

6-7A Lecture: Central Limit Lecture

6-7B Lecture: Finding probabilities involving the Distribution of Sample Means

6-8A Normal Distribution to Approximate a Binomial Probability Distribution Intro

6-8B Normal Distribution to Approximate a Binomial Probability Distribution Examples

Chapter 6 Notes

Chapter 7 Confidence Intervals

7-1A: Population proportion Introduction

7-1B: Confidence Intervals critical values

7-1C: Confidence Intervals for estimating a population proportion introduction

7-1D: Creating a Confidence Interval for estimating a population proportion Examples

7-1E: Sample Size required to estimate a population proportion Examples

7-2A: Confidence Intervals for estimating a population mean Introduction

7-2B: Confidence Intervals T critical values

7-2C: Creating a confidence Interval for a population mean Examples

7-2D: Sample Size required to estimate a population mean Examples

7-3A: Confidence Intervals for estimating a population standard deviation introduction

7-3B: Confidence Intervals T critical values

7-3C: Creating a confidence Interval for a population standard deviation Examples

7-3D: Sample Size required to estimate a population standard deviation

Chapter 7 Notes

Chapter 6 and 7 Test Notes

Chapter 8 Hypothesis Testing Lectures

8-1A: Intro to hypothesis testing

8-1B: Type I and Type II Errors

8-1C: The basics of hypothesis testing

8-1D: The steps of hypothesis testing

8-2A: Intro to hypothesis testing for population proportions

8-2B: Z table critical values for hypothesis testing

8-2C: Examples hypothesis testing for population proportions

8-3A: Intro to hypothesis testing for population means

8-3B: t table critical values for hypothesis testing for population means

8-3C: Examples of hypothesis testing for population means

8-4A: Intro to hypothesis testing for population standard deviations

8-4B: Chi-Square Table critical values for hypothesis testing

8-4C: Examples of hypothesis testing for population standard deviations

Chapter 8 Notes

Chapter 9 Hypothesis Testing From Two Samples

9-0: Intro to Hypothesis Testing with two populations

9-1A: Hypothesis Testing to Compare the Difference in 2 Population Proportions

9-1B: Using Confidence Intervals to Compare the Difference in 2 Population Proportions

9-2A: Hypothesis Testing to Compare the Difference in 2 Population Means (Independent Samples)

9-2B: Using Confidence Intervals to Compare the Difference in 2 Population Means

9-3A: Hypothesis Testing to Compare the Difference in 2 Population Standard Deviations Examples

9-4B: F Table Critical Values

9-4: One Way ANOVA

9-4: One Way ANOVA Spreadsheet

9-5A: Hypothesis Testing to Compare the Difference in 2 Population Means (Dependent Samples) (Matched Pairs)

9-5B: Using Confidence Intervals to Compare the Difference in 2 Population Means (Dependent Samples) (Matched Pairs)

Chapter 9 Notes

Chapter 8 and 9 Test Notes

Tables

Positive Z Table

F Table for alpha = .01

Negative Z Table

F Table for alpha = .025

T Table

F Table for alpha = .05

Chi Square Table