Math 309 Mathematical Statistics

Math 309 Mathematical Statistics

Welcome!

Welcome to Math 309 - Mathematical Statistics at Albion College. This site has all the class information that you need to be successful. Here you will find the class schedule; class policies; homework, quiz, and exam details; and various opportunities for help & support. In addition, student rights, access, accomodation, and related information can be found here.


Who, What, When, Where?

Instructor Information Professor Darren E. Mason, Ph.D; Palenske Hall 224; dmason@albion.edu.
Course Description A mathematical study of probability distributions, random sampling, and topics selected from statistical theory: estimation, hypothesis testing and regression.
Prerequisites Math 245 - Multivariate Calculus
Class Location, Time, and Modality Palenske 225; MWF: 1:00PM - 2:05PM; Class is in person.
Student Hours MWF: 1500 - 1600; TR: 1200 - 1300; Palenske 224. See Student Hours for more information.
Text Probability and Statistics for Engineers and Scientists by Walpole, Myers, Myers, & Ye, Pearson Education, 9th Edition, ISBN: 9780136860969, 2021. Be sure to choose an option that includes access to both the book and to MyLab!
Asking Questions If you have questions during class or student hours, I will answer them at that time. If you have questions at other times, you can email them to me. I promise to respond within 24 hours, either by email or in person. DO NOT expect a response after 5pm on any given day as I may be busy with my family. However, I will do my best to be as fast as possible.

Course Policies

Class Schedule

This is a tentative schedule of what we will be covering in Math 351H this semester. In the case of unforeseen delays or modifications to our daily life, its subject to change.


WeekSections Covered
08/26 - 08/30 Introduction; Course Overview; Chapter 1; Sample Spaces, Events, Counting Sample Points
09/02 Labor Day - No Classes
09/03 - 09/06Probability of an Event; Additive Rules; Conditional Probability; Independence, Multiplicative Rules; Bayes' Rule
09/09 - 09/13Random Variables; Discrete, Continuous, and Joint Probability Distributions + Quiz #1
09/16 - 09/20Mean, Variance, and Covariance for Random Variables
09/23 - 09/27Discrete Probability Distributions: Discrete, Binomial, Hypergeometric + Quiz #2
09/30 - 10/04Multinomial; Negative Binomial; Poisson Processes; Continuous Probability Distributions: Uniform.
10/07 - 10/11Continuous Probability Distributions (concluded): Normal, Gamma + Exam #1
10/14 - 10/15 Fall Break - No Classes
10/16 - 10/18Sampling Distributions and the Central Limit Theorem
10/21 - 10/25Sampling Distributions and the Central Limit Theorem + Quiz #3
10/28 - 11/01Statistical Inference and Estimation Methods
11/04 - 11/08Statistical Inference and Estimation Methods (concluded) + Quiz #4
11/11 - 11/15Hypothesis Testing
11/18 - 11/22Hypothesis Testing (concluded) + Exam #2
11/25 - 11/26Linear Regression and Correlation
11/27 - 11/29Thanksgiving Break
12/02 - 12/06Quiz #5 + Linear Regression and Correlation (concluded)
12/10Tuesday; Final Examination; 1500 - 1700

Online Homework

The online homework system MyStatLab is where you can

To register for MyStatLab (MSL) you need:

Homework Hints/Guidelines

Getting Technical Help

Quizzes

There are five quizes during the semester, listed in the below table along with practice quizzes and solutions. With the exception of the last quiz - which takes place at the beginning of class on MONDAY, all quizzes take place at the beginning of class on FRIDAY.

Quiz Date TopicsPractice QuizSolution
1 09/13Chapters 1 & 2PQ1 / PQ1S Q1 Solution
2 09/27Chapters 3 & 4PQ2 / PQ2S Q2 Solution
3 10/25Chapter 5PQ3 / PQ3S Q3 Solution
4 11/08Chapters 6 & 8PQ4 / PQ4S Q4 Solution
5 12/02Chapter 10PQ5 / PQ5S Q5 Solution

Grading Note: The semeseter quizzes count for 20% of your final grade, with your lowest score being dropped. Hence, each counted quiz is worth approximately 5% of your final grade.

Examinations

The two semester exams for the semester, listed in the below table.

ExamDate TopicsPractice Exam / SolutionSolution
1 Friday, October 11Chapters 1-4PE1 / PE1SE1 Solution
2 Friday, November 22Chapters 5 - 9PE2 / PE2SE2 Solution
Final Tuesday
December 10
1500 - 1700
All Covered MaterialPFE / PFES

Grading Note: The semeseter exams count for 30% of your final grade, with your highest score counting for 20% and your lowest score counting for 10%. More details will be available as the date of each exam appoaches.


Student Hours


MWF: 1500 - 1600; TR: 1200 - 1300; Or by appointment.

Student hours is time and space that has been specifically allocated for me (Dr. Mason) to help you (the student) with questions, life, class, or just to talk. You are STRONGLY ENCOURAGED to hang out with me as often as you can. Research demonstrates that their is a solid correlation between good grades and being engaged with class. Student hours is one way to reinforce that connection.

GUIDE TO SUCCESSFUL STUDENT HOURS:

Getting Help

Your best option for getting help is talking to Dr. Mason or to your fellow students. There is no substitute for either a 1-on-1 conversation with your professor or a problem-solving session with your fellow students/colleagues. Mathematics and problem solving, especially in the industrial world, is a collaborative process where ideas are shared. As such, you are strongly encouraged to work together. However, it is imperative that when you write out solutions to problems in your homework, your words are your own and not a copy of someone else.

It is very risky to rely on websites, videos, AI, Chegg, YouTube, and other contemporary sources to replace your learning or for a "quick-fix" to complete an assignment. Such passive delivery sources can be misleading in that they can provide you with a false sense of security - convincing you that you fully understand the material. Remember that 70% of your grade is basd on work you do by yourself in a proctored environment. True understanding is essential to high performance on quizzes and tess.