MATH10282 INTRODUCTION TO STATISTICS ONLINE COURSE MATERIALS

Course Syllabus

Formulas to Remember for the Final Exam in May/June 2022

R Coursework due 11:00am Friday 20 May 2022

Formulas

Elementary Mathematics

Supplementary Lecture Notes

Some Common Probability Distributions

Counter Examples for the Central Limit Theorem

Power Function for a Binomial Parameter

Weibull MGF paper

Closed Form MLEs for the Gamma Distribution

Exact Test for Equality of Means when Variances Unknown and Not Equal

Derivation of Mean and Variance of the t Distribution

Proof that the t Distribution Approaches the Normal Distribution

Handwritten Notes 2018/2019

Handwritten Notes 2019/2020

Podcasts for the 2018/2019 Academic Year

Podcasts for the 2019/2020 Academic Year

Podcasts for the 2020/2021 Academic Year

Week 3 Student Feedback 2018/2019

Week 3 Student Feedback 2019/2020

UEQ Results 2018/2019

UEQ Results 2019/2020

UEQ Results 2020/2021

UEQ Results 2021/2022

PRELIMINARY MATERIAL

Gamma Function

• Video (YouTube Version)

• Handwritten Notes

Beta Function

• Video (YouTube Version)

• Handwritten Notes

Properties of Sum

• Video (YouTube Version)

• Handwritten Notes

Properties of Product

• Video (YouTube Version)

• Handwritten Notes

---

WEEK 1 (7 FEBRUARY 2022 TO 11 FEBRUARY 2022) MATERIAL

Welcome

• Video (YouTube Version)

• Handwritten Notes

What is Statistics

• Video (YouTube Version)

• Handwritten Notes

Popular Trends in Statistics

• Video (YouTube Version)

• Handwritten Notes

Elements of Statistics

• Video (YouTube Version)

• Handwritten Notes

Methods of Sampling

• Video (YouTube Version)

• Handwritten Notes

Variables

• Video (YouTube Version)

• Handwritten Notes

Independent Events & Random Variables

• Video (YouTube Version)

• Handwritten Notes

Sample Mean & Sample Variance

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Moses Dataset

• Opinion Poll Dataset

• Video (YouTube Version) Solutions for All Questions in Tutorial

---

WEEK 2 (14 FEBRUARY 2022 TO 18 FEBRUARY 2022) MATERIAL

Summary Statistics

• Video (YouTube Version)

• Handwritten Notes

Graphical Displays

• Video (YouTube Version)

• Handwritten Notes

Normal Distribution

• Video (YouTube Version)

• Handwritten Notes

Binomial Distribution

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 11:00-12:00 Monday 14 February 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Monday 14 February 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 15 February 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 15 February 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 16 February 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 17 February 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 1 due 11:00am Friday 18 February 2022

• Solutions to Problem 1

---

WEEK 3 (21 FEBRUARY 2022 TO 25 FEBRUARY 2022) MATERIAL

Central Limit Theorem

• Video (YouTube Version)

• Handwritten Notes

Sampling Distributions: Chisquared

• Video (YouTube Version)

• Handwritten Notes

Sampling Distributions: Student's t

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Moses Dataset

• Opinion Poll Dataset

• Runners Dataset

• Simulated Dataset

• Geyser Dataset

• Anorexia Dataset

• Typed Solutions for All Questions

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 2 due 11:00am Friday 25 February 2022

• Solutions to Problem 2

---

WEEK 4 (28 FEBRUARY 2022 TO 4 MARCH 2022) MATERIAL

Point Estimation

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 11:00-12:00 Monday 28 February 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Monday 28 February 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Tuesday 1 March 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Tuesday 1 March 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 2 March 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 3 March 2022

• Video Solutions for All Questions (YouTube Version) in Tutorial

Quiz

• Problem 3 due 11:00am Friday 4 March 2022

• Solutions to Problem 3

---

WEEK 5 (7 MARCH 2022 TO 11 MARCH 2022) MATERIAL

Examples on Point Estimation

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Simulated Dataset

• Geyser Dataset

• Anorexia Dataset

• Typed Solutions for All Questions

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 4 due 11:00am Friday 11 March 2022

• Solutions to Problem 4

---

WEEK 6 (14 MARCH 2022 TO 18 MARCH 2022) MATERIAL

Maximum Likelihood Estimation

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 11:00-12:00 Monday 14 March 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Monday 14 March 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 15 March 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 15 March 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 16 March 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 17 March 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 5 due 11:00am Friday 18 March 2022

• Solutions to Problem 5

---

WEEK 7 (21 MARCH 2022 TO 25 MARCH 2022) MATERIAL

Examples on Maximum Likelihood Estimation

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Four R Functions

• Typed Solutions for All Questions

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 6 due 11:00am Friday 25 March 2022

• Solutions to Problem 6

---

WEEK 8 (28 MARCH 2022 TO 1 APRIL 2022) MATERIAL

Percentiles of Normal, Student's t & Chisquared Distributions

• Video (YouTube Version)

• Handwritten Notes

Definition of Confidence Intervals

• Video (YouTube Version)

• Handwritten Notes

One Sample Confidence Intervals

• Video (YouTube Version)

• Handwritten Notes

Two Sample Confidence Intervals

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 11:00-12:00 Monday 28 March 2022

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Monday 28 March 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 29 March 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 29 March 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 30 March 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 31 March 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 7 due 11:00am Friday 1 April 2022

• Solutions to Problem 7

---

WEEK 9 (25 APRIL 2022 TO 29 APRIL 2022) MATERIAL

Examples on Confidence Intervals

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Monday 25 April 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 26 April 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 26 April 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 27 April 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 28 April 2022

• Video (YouTube Version) of Tutorial Session 17:00-18:00 Thursday 28 April 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 8 due 11:00am Friday 29 April 2022

• Solutions to Problem 8

---

WEEK 10 (2 MAY 2022 TO 6 MAY 2022) MATERIAL

Tests of Hypotheses

• Video (YouTube Version)

• Handwritten Notes

One Sample Tests

• Video (YouTube Version)

• Handwritten Notes

Two Sample Tests

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 3 May 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 3 May 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 4 May 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 5 May 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 9 due 11:00am Friday 6 May 2022

• Solutions to Problem 9

---

WEEK 11 (9 MAY 2022 TO 13 MAY 2022) MATERIAL

Examples on One Sample Tests

• Video (YouTube Version)

• Handwritten Notes

Review Session

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Tuesday 9 May 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 10 May 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 10 May 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 11 May 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 12 May 2022

• Video (YouTube Version) of Tutorial Session 17:00-18:00 Thursday 12 May 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

Quiz

• Problem 10 due 11:00am Friday 13 May 2022

• Solutions to Problem 10

---

WEEK 12 (16 MAY 2022 TO 20 MAY 2022) MATERIAL

Revision

• Video (YouTube Version)

• Handwritten Notes

Tutorial

• Sheet

• Typed Solutions for All Questions

• Handwritten Solutions for All Questions

• Video (YouTube Version) of Tutorial Session 16:00-17:00 Tuesday 16 May 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 17 May 2022

• Video (YouTube Version) of Tutorial Session 9:00-10:00 Tuesday 17 May 2022

• Video (YouTube Version) of Tutorial Session 12:00-13:00 Wednesday 18 May 2022

• Video (YouTube Version) of Tutorial Session 10:00-11:00 Thursday 19 May 2022

• Video (YouTube Version) of Tutorial Session 17:00-18:00 Thursday 19 May 2022

• Video (YouTube Version) Solutions for All Questions in Tutorial

R Coursework due 11:00am Friday 20 May 2022

• 2021/2022 R Coursework

• Solutions to 2021/2022 R Coursework

---

QUIZZES AND SOLUTIONS FOR THE 2018/2019 ACADEMIC YEAR

• Problem 1 due 15:00pm Monday 4 February 2019

• Solutions to Problem 1

• Problem 2 due 15:00pm Monday 11 February 2019

• Solutions to Problem 2

• Problem 3 due 15:00pm Monday 18 February 2019

• Solutions to Problem 3

• Problem 4 due 15:00pm Monday 25 February 2019

• Solutions to Problem 4

• Problem 5 due 15:00pm Monday 4 March 2019

• Solutions to Problem 5

• Problem 6 due 15:00pm Monday 11 March 2019

• Solutions to Problem 6

• Problem 7 due 15:00pm Monday 18 March 2019

• Solutions to Problem 7

• Problem 8 due 15:00pm Monday 25 March 2019

• Solutions to Problem 8

• Problem 9 due 15:00pm Monday 1 April 2019

• Solutions to Problem 9

• Problem 10 due 15:00pm Monday 6 May 2019

• Solutions to Problem 10

QUIZZES AND SOLUTIONS FOR THE 2019/2020 ACADEMIC YEAR

• Problem 1 due 9:00am Tuesday 4 February 2020

• Solutions to Problem 1

• Problem 2 due 9:00am Tuesday 11 February 2020

• Solutions to Problem 2

• Problem 3 due 9:00am Tuesday 18 February 2020

• Solutions to Problem 3

• Problem 4 due 9:00am Tuesday 25 February 2020

• Solutions to Problem 4

• Problem 5 due 9:00am Tuesday 3 March 2020

• Solutions to Problem 5

• Problem 6 due 9:00am Tuesday 10 March 2020

• Solutions to Problem 6

• Problem 7 due 9:00am Tuesday 17 March 2020

• Solutions to Problem 7

• Problem 8 due 9:00am Tuesday 24 March 2020

• Solutions to Problem 8

• Problem 9 due 9:00am Tuesday 28 April 2020

• Solutions to Problem 9

• Problem 10 due 9:00am Tuesday 5 May 2020

• Solutions to Problem 10

QUIZZES AND SOLUTIONS FOR THE 2020/2021 ACADEMIC YEAR

• Problem 1 due 10:00am Thursday 18 February 2021

• Solutions to Problem 1

• Problem 2 due 10:00am Thursday 25 February 2021

• Solutions to Problem 2

• Problem 3 due 10:00am Thursday 4 March 2021

• Solutions to Problem 3

• Problem 4 due 10:00am Thursday 11 March 2021

• Solutions to Problem 4

• Problem 5 due 10:00am Thursday 18 March 2021

• Solutions to Problem 5

• Problem 6 due 10:00am Thursday 25 March 2021

• Solutions to Problem 6

• Problem 7 due 10:00am Thursday 15 April 2021

• Solutions to Problem 7

• Problem 8 due 10:00am Thursday 22 April 2021

• Solutions to Problem 8

• Problem 9 due 10:00am Thursday 29 April 2021

• Solutions to Problem 9

• Problem 10 due 10:00am Thursday 6 May 2021

• Solutions to Problem 10

R COURSEWORK

• 2015/2016 R Courswork

• Solutions to 2015/2016 R Coursework

• 2016/2017 R Courswork

• Solutions to 2016/2017 R Coursework

• 2017/2018 R Courswork

• Solutions to 2017/2018 R Coursework

• 2018/2019 R Coursework

• Solutions to 2018/2019 R Coursework

• 2019/2020 R Coursework

• Solutions to 2019/2020 R Coursework

• 2020/2021 R Coursework

• Solutions to 2020/2021 R Coursework

IN-CLASS TESTS

• 2015/2016 In-Class Test

• Solutions to 2015/2016 In-Class Test

• 2016/2017 In-Class Test

• Solutions to 2016/2017 In-Class Test

• 2016/2017 In-Class Test

• Solutions to 2016/2017 In-Class Test

FINAL EXAMS

• 2015/2016 Exam

• Solutions to 2015/2016 Exam

• 2016/2017 Exam

• Solutions to 2016/2017 Exam

• 2017/2018 Exam

• Solutions to 2017/2018 Exam

• 2018/2019 Exam

• Solutions to 2018/2019 Exam

• 2018/2019 Resit Exam

• Solutions to 2018/2019 Resit Exam

• 2019/2020 Exam

• Solutions to 2019/2020 Exam

• 2020/2021 Exam

• Solutions to 2020/2021 Exam

SOME FREE BOOKS

• A Basic Course in Statistics

• Introduction to Mathematical Statistics

• Introduction to Probability and Statistics for Engineers and Scientists

• Statistics: An Introduction Using R