Department of Mathematics - SUNY Geneseo

#### Course Description

An introduction to statistics with emphasis on applications. Topics include the description of data with numerical summaries and graphs, the production of data through sampling and experimental design, techniques of making inferences from data such as confidence intervals and hypothesis tests for both categorical and quantitative data. The course includes an introduction to computer analysis of data with a statistical computing package.

#### Instructor

Cesar Aguilar, South Hall 325A

#### Office Hours

MF 1:30 - 2:30, W 9:30 - 10:30

#### Class Meetings

TR 12:30 PM - 1:45 PM, Fraser 119

#### Software

• jamovi an R-based graphical user interface
• SALT: Statistical Analysis and Learning Tool

#### Final Exam

Thursday, May 18, 8:00-10:30 AM

#### Textbook and Resources

Both textbooks are open educational resources

### This Week

Week 10: Mar 27 - Mar 31 | Today: Mar 27
Estimating parameters, Confidence intervals
Topics: Estimating parameters, Confidence intervals
Slides: Chapter 8
Files: Lab 5

### Last Week

Week 9: Mar 20 - Mar 24
Estimating parameters, Confidence intervals
Topics: Estimating parameters, Confidence intervals
Slides: Chapter 8

### Homework

Title Due Date Week No.
Homework 1 - What is statistics? Jan 31, 2023 1
Homework 2 - Descriptive Statistics Feb 13, 2023 3

### Schedule

Week 1:  Jan 23 - Jan 27
Why learn stats? Research design
Topics: Why learn stats? Research design
What to Read: Chapters 1 & 2 (omit 2.3, 2.6, 2.7)
Jan 24 First day of classes
HOMEWORK HW 1DUE: Jan 31
Week 2:  Jan 30 - Feb 03
jamovi, Descriptive statistics
Topics: jamovi, Descriptive statistics
What to Read: Chapter 3 & 4
Slides: Chapter 4
Files: data sets
HW DUE HW 1DUE: Jan 31
Week 3:  Feb 06 - Feb 10
Drawing graphs, Data manipulation
Topics: Drawing graphs, Data manipulation
What to Read: Chapter 5 & 6
Slides: Chapter 5
HOMEWORK HW 2DUE: Feb 13
NEXT WEEK Test 1 on Feb 16, 12:30 PM – 1:45 PM
Week 4:  Feb 13 - Feb 17
Review, Test 1
Topics: Review, Test 1
What to Read: Chapters 1 - 6
HW DUE HW 2DUE: Feb 13
TEST 1 Feb 16, 12:30 PM – 1:45 PM
Week 5:  Feb 20 - Feb 24
Probability theory, Probability distributions
Topics: Probability theory, Probability distributions
Slides: Chapter 7
Week 6:  Feb 27 - Mar 03
Sampling
Topics: Sampling
Slides: Chapter 8
Feb 28 Diversity Summit - No Classes
Week 7:  Mar 06 - Mar 10
Central Limit Theorem
Topics: Central Limit Theorem
Slides: Chapter 8
Files: Lab 3
Week 8:  Mar 13 - Mar 17
Rest, recover, & enjoy the turning of the season
Topics: Rest, recover, & enjoy the turning of the season
Mar 13-17 Spring Break - No Classes
Week 9:  Mar 20 - Mar 24
Estimating parameters, Confidence intervals
Topics: Estimating parameters, Confidence intervals
Slides: Chapter 8
Week 10:  Mar 27 - Mar 31 | Today: Mar 27
Estimating parameters, Confidence intervals
Topics: Estimating parameters, Confidence intervals
Slides: Chapter 8
Files: Lab 5
Week 11:  Apr 03 - Apr 07
Hypothesis testing
Topics: Hypothesis testing
Week 12:  Apr 10 - Apr 14
Hypothesis testing
Topics: Hypothesis testing
What to Read: Chapter 9, 11
Week 13:  Apr 17 - Apr 21
Review, Test 2
Topics: Review, Test 2
What to Read: Chapters 7 - 9
Week 14:  Apr 24 - Apr 28
Correlation and linear regression
Topics: Correlation and linear regression
Apr 26 GREAT Day - No Classes
Week 15:  May 01 - May 05
Non-parametric tests
Topics: Non-parametric tests
Week 16:  May 08 - May 12
Non-parametric tests
Topics: Non-parametric tests
May 10 Last day of classes

### Syllabus

#### Learning Outcomes

Upon successful completion of MATH 262 - Applied Statistics, a student will be able to:

Below is the tentative course grading scheme. The grading scheme may change during the semester at the discretion of the instructor. Any changes to the grading scheme will be announced in class before the final exam. If homework assignments are done in groups, then a student must achieve a passing grade in all individual assessments (e.g., tests and final exam) to pass the course.

ItemPercentage
Homework25
Tests30
Final30
Labs15
A94-100
A−90-93
B+87-89
B83-86
B−80-82
C+77-79
C73-76
C−70-72
D60-69
E< 60

#### Tests and Exam

There will be 3-4 tests scheduled evenly throughout the semester. The final exam is scheduled for Thursday, May 18, 8:00-10:30 AM. The final exam will be cumulative, that is, any topic covered in the course could be tested in the final exam. There will be no make-up for a missed test or final exam under any circumstances. If a student misses a test and can present evidence of an extenuating circumstance then the weight of the missed test will be redistributed to the final exam weight. Having the cold or flu is not an extenuating circumstance. Examples of extenuating circumstances include a medical emergency, a serious prolonged illness, or the death of a member of your immediate family.

#### Homework

We will be using the online homework system called Webwork. Each Webwork assignment will have a due date and late submissions will not be accepted by the system after the deadline. A brief tutorial on how to use Webwork will be given on the first day of class. I encourage you to collaborate with your colleagues on your assignments/labs but your final submitted work should be your own (see Academic Dishonesty statement below).

#### Technology

Calculators are not permitted during the tests or final exam. However, I encourage you to use your calculator, Maple and other math software, WolframAlpha, and other forms of technology as you study and do your assignments. Both Maple and Mathematica can be downloaded from SUNY Geneseo Software page.

#### Office Hours and Math Learning Center

I encourage you to come to my office (South Hall 325A) whenever you are having trouble with any part of the course material, seeking academic advice, or you just want to chat about mathematics in general. If you want to meet with me outside of my office hours, you will need to make an appointment, preferably via email. I also encourage you to visit the Math Learning Center located in South Hall 332 where you can receive free tutoring on a walk-in basis by highly qualified upper level students. Access to in-person office hours and to the MLC will depend on social distancing guidelines set by the College.

#### Email Communication

I will do my best to reply to student email regarding the logistics of the course within 24 hours during the working week (Mon-Fri). However, due to the potential large volume of emails, inquiries regarding homework problems and/or specific course content should be made during office hours or after class.

Please read, and follow, Geneseo's Academic Dishonesty and Plagiarism policy. Below is the definition of plagiarism and its consequences as described in SUNY Geneseo's Academic Dishonesty and Plagiarism statement:

Plagiarism is the representation of someone else's words or ideas as one's own, or the arrangement of someone else's material(s) as one's own. Such misrepresentation may be sufficient grounds for a student's receiving a grade of E for the paper or presentation involved or may result in an E being assigned as the final grade for the course.

If there is sufficient evidence of academic dishonesty on a homework assignment, all students involved will receive a zero score on the homework assignment and I will provide the department chairperson, the dean of academic planning and advising, and the student(s) with a written report of the violation, the penalty imposed and the counseling provided to the students involved. A second instance of academic dishonesty on a homework assignment will result in a final grade of E for the course for all students involved. Academic dishonesty on a test/final exam will result in a final grade of E for the course.