Probability & Statistics Course Materials

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Semester Lecture Videos & Notes             Summer Lecture Notes and Videos

 

 

 

 

 

 

1

Introduction and Descriptive Charts

 

 

 

Exercise 1: Organize and Display Data

 

 

 

 

 

 

 

Geyser Data Sheet

 

 

 

 

 

 

 

 

 

 

Assignment 1: Practice the R commands in section 2 of Introduction to Basic R & R Commands and show the R commands and the answers to questions in the last section of the document.

 

 

 

 

 

 

 

More R Examples

 

 

 

Getting Started With R Commander by John Fox

 

 

 

R Commander Instructions

 

 

 

 

 

 

2

 

 

 

Descriptive Measures

 

 

 

Exercise 2: Boxplot (MS-Word version)

 

 

 

Assignment 2: Create Data and Produce Descriptive Statistics Using R

 

 

 

 

 

 

 

R Instructions:

 

 

 

 

 

 

3

 

 

 

Probability

 

 

 

Exercise 3.1: Venn Diagram

 

 

 

Exercise 3.2: Counting Techniques

Exercise 3.3: General Addition Rule

 

 

 

 

 

 

 

Assignment 3: Descriptive Statistics

 

 

 

 

 

 

 

 

 

 

 

 

 

Exercise 4: Bayes Theorem

 

 

 

 

 

 

 

Review problems Set 1 

 

 

 

- Answers to Review Problems

 

 

 

 

Additional Problems with Answers

 

 

 

 

 

 

 

 

 

Assignment 4: Process Quality Comparison

 

 

 

- Assignment format and the use of MS-Word Equation Editor

 

 

 

 

 

 

 

 

 

 

4

 

 

 

Discrete Distribution

 

 

 

Exercise 5: Probability Mass Function and Mathematical Expectation

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Discrete Distribution

 

 

 

Exercise 6: Discrete Distributions

 

 

 

Assignment 5: Discrete Probability with R

 

 

 

 

 

 

5

 

 

 

Continuous Distribution

 

 

 

Exercise 7: Continuous Distributions

 

 

 

 

 

 

 

 

 

 

 

Review Problems Set 2

 

 

 

- Answers to Review Problems

 

 

 

 

 

 

 

Normal Distribution

 

 

 

Exercise 8: Normal Distribution

 

 

 

Assignment 6: Continuous Distribution with R

 

 

 

 

 

 

 

Assignment: Simulation for Central Limit Theorem

 

 

 

 

 

6

 

 

 

Estimation

 

 

 

Exercise 9: Confidence Interval Estimation

 

 

 

 

 

 

 

Assignment 7a: Confidence Interval Estimation

Assignment 7b: Confidence Interval Estimation One Mean and One Proportion

 

 

 

 

 

 

 

 

 

7

 

 

 

Test of Hypothesis

 

 

 

Exercise 10: More on Confidence Interval Estimation

 

 

 

 

 

 

 

Assignment 8a: More on Confidence Interval Estimation

Assignment 8b: Testing Hypothesis for One Mean (Google Survey)

 

 

 

 

 

 

8

 

 

 

 

 

 

Assignment 9a: Test Hypothesis for Difference Between Two means

 

 

 

 

 

Review Problems Set 3

 

 

 

- Answers to Review Problems

 

 

 

 

 

 

 

 

 

 

 

 

 

Exercise 11: Test of Statistical Hypotheses

Exercise 11: Inference for One Proportion

 

 

 

 

 

 

 

Assignment 9b: Test of Statistical Hypotheses

 

 

 

 

More Example Problems

 

 

9

 

 

 

Test of Hypothesis: Linear Regression

 

 

 

Assignment 10a: BMI and AHEPW

Assignment 10b: Systems Calibration and Estimation

 

 

 

Assignment 10c: Systems Calibration and Comparison

Assignment 10d: Old Faithful data

 

 

 

 

 

 

 

 

 

 

10

 

 

 

Quality Control and Review

 

 

 

R for Quality Control Charting and Statistical Process Control

 

 

 

 

 

 

 

 

 

 

 

Assignment QC: Quality Control and Capability Analysis