MATH 260 - 0004 – Introductory to Statistics

Syllabus

MATH 260 - 0004 – Introductory to Statistics

J-Term 2024

Online

Course Overview

We will be using RStudio to obtain analyze various data. Based on the statistical results we obtain we will learn how to draw conclusions.  One of the most important parts of statistics is not only the statistical results you obtain but the conclusions you draw to explain those statistical results.

Catalog Description

Using statistical software, this course covers probability, descriptive statistics, sampling distributions and the Central Limit Theorem, hypothesis testing and confidence intervals, distributions of random variables and/or test statistics (normal,Z,t, F, binomial, and chi-square), t-tests (one- and two-sample, paired), analysis of categorical data (one proportion: binomial test, normal approximation; two or more proportions: chi-square tests, odds ratios), correlation, and simple linear regression. Credit will not be granted for both MATH 260 and BUS ADM 216.

Course Learning Outcomes

•     Know how to use RStudio (a statistical software) to obtain statistical results.

•     Identify the research objective.

•     Collect data needed to answer questions.

•     Know how to organize, summarize and present data that is collected (this process is descriptive statistics)

•     Be able to use different methods for determining the probability and probability models.

•     Preform inference.

How to be successful in this course

Statistics problems are expected to be challenging and build on previous knowledge and understanding.

Consequently, you should set aside at least 9 - 12 hours per week for study. (Note: The amount of time required for study will vary by individual.) It would be to your advantage to work extra problems, in addition to the ones assigned in the homework and assignments. If at anytime you feel that you are falling behind, you should contact the instructor immediately.

Student’s Responsibility

•    Be prepared for all classes

•    Be respectful of others

•    Actively contribute to the learning activities in class

Instructor’s Responsibility

•    Be prepared for all classes

•    Evaluate all fairly and equally

•    Be respectful of all students

•    Create and facilitate meaningful learning activities

•    Behave according to University codes of conduct

•    Give timely feedback

Grading Policies

15% Homework: Homework will be accessed through MyLab Statistics you have unlimited attempts on the homework. If you are struggling with a problem you can use the “View an Example”, “Help Me Solve This” and “Skill Builder” .

60% - Chapter Exams: 3 exams will be given each worth 20% of your grade. There are no makeup exams given.

25% - Final Exam:  This will bean accumulative final exam. There is no makeup final exam given.

Letter-grade scale

Grade

Percent

A

92% - 100%

Grade

Percent

AB

89% - 91%

B

82% - 88%

BC

79% - 81%

C

70% - 78%

D

60% - 69%

F

Below 60%

Learning environment

This is a face-to-face course.  This course is accessible through Canvas. Students will be required to attend class for the lectures and use the course software MyLab Statistics and RStudio to successfully complete optional homework, quizzes and exams .

All students will be required to purchase MyLab Statistics software throughPearsonor the bookstore and download RStudio for free.  Students will use the software to complete practice homework, quizzes, and exams.  This software will also give you access to section lecture videos in addition to the face-to-face lectures.

It is extremely important that you regularly schedule time outside of class to complete practice homework and study for Exams and quizzes.  Do not procrastinate or get behind in this class, it is very difficult to catch backup. If you have problems completing your homework or understanding concepts while at home, there are many resources built into the MyLab Statistics software.  These resources will be discussed in the introduction video, be sure to ask about these resources if you have any questions.

There will be Exams and quizzes given throughout the semester. The quizzes will betaken through

MyLab Statistics. Your exams will betaken in class. You are required to use RStudio for calculating items on your quizzes and exams. You will be able to submit all work for your test and quizzes through Canvas to earn partial credit. However, you must submit your work within 15 minutes of completing your quiz and to the instructor after completing an exam.  Exams and quiz problems for which work is not submitted will not be graded for partial credit. If your work is not numbered and neatly organized you will not receive credit. You are not allowed to use your phone as a calculator on the quizzes or Exams

Learning Resources

•    RStudio will be accessed from your own computer.  There are instructions in the course how to install it.

•    Microsoft word 2016 or higher

•    Microsoft Excel 2016 or higher

•    MyLab Statistics which is an application to do homework, quizzes, and tests.  Your eText and section videos are available in MyLab Statistics also.

Course Schedule

Units or components of course

This course is broken down into Modules. There will be a new module each week. You will have videos, homework, discussions, and quizzes to do weekly.  Some weeks will contain the exams.

Schedule including assignments

Week of

Topics

Items to Do

Jan 2 – Jan

8

1.1 Introduction to the Practice of Statistics

1.2 Observational Studies versus Designed Experiments

1.3 Simple Random Sampling

1.4 Other Effective Sampling Methods

1.5 Bias in Sampling

The Design of Experiments

2.1 Organizing Qualitative Data

2.2 Organizing Quantitative Data

2.3 Graphical Misrepresentation of Data

3.1 Measure of Central Tendency

3.2 Measure of Dispersion

3.3 Measure of Central Tendency and Dispersion from Grouped Data

3.4 Measures of Position and outliers

3.5 The Five Number Summary and Boxplots

4.1 Scatter Diagram and Correlation

4.2 Least-Squares Regression

4.3 Coefficient of Determination

4.4 Contingency tables and Association

• Read sections in eText in MyLab Statistics

• Review Lecture Notes

 Watch section lecture videos in MyLab Statistics if needed.

 Work MyLab Statistics Homework

 Exam 1

Jan 9 – Jan

15

5.1 Probability Rules

5.2 The Addition Rule and Complements

5.3 Independence and the Multiplication Rule

5.4 Conditional Probability and the General Multiplication Rule

5.5 Counting Techniques

5.6 Putting it alltogetherWhich method do I use?

6.1 Discrete Random Variables

6.2 Binomial Probability Distribution

7.1 Properties of the Normal Distribution

7.2 Applications of the Normal Distribution

7.3 Assessing Normality

7.4 The Normal Approximation to the Binomial Probability Distribution

• Read sections in eText in MyLab Statistics

• Review Lecture Notes

 Watch section lecture videos in MyLab Statistics if needed.

 Work MyLab Statistics Homework

 Exam 2

Jan 16 –

Jan 23

8.1 Distribution of the Sample Mean

8.2 Distribution of the Sample Proportion

9.1 Estimating a Population Proportion

9.2 Estimating a Population Mean

9.3 Putting it Together: Which Procedure Do I Use?

• Read sections in eText in MyLab Statistics

• Review Lecture Notes

10.1 The Language of Hypothesis Testing

10.2 Hypothesis Test for a Population Proportion

10.3 Hypothesis Test for a Population Mean

10.4 Putting it Together:  Which Method Do I Use?

11.1 Inference about Two Population Proportions

11.2 Inference about Two Means: Dependent Samples

11.3 Inference about Two Means:  Independent Samples

11.4 Putting it Together:  Which Method Do I Use?

12.1 Goodness-Fit Test

12.2 Tests for Independence and the Homogeneity of Proportions

 Watch section lecture videos in MyLab Statistics if needed.

 Work MyLab Statistics Homework

 Exam 3

 Final Exam

COVID- 19 Policies

Face Covering

In response to COVID-19, and in alignment with theUW Green Bay Building Access Policy OP 15-17-01- c,the Center for Disease Control and Preventionguidelines, and  the established requirements of the

Board of Regents of the University of Wisconsin System;  face coverings are required at all times while on campus. This includes the classroom, laboratory, studio, creative space, or any type of in-person instructional activity, and public spaces."

Face coverings shall satisfy the stated recommendation is thePhoenix Forward: Return to Campus Plan pages 8 & 9.

Students that cannot wear a face covering due to a medical condition or disability, or who are unable to remove a mask without assistance may seek an accommodation through the Office of COVID-19 Response.

Social Distancing

As instructors, we cherish our interactions with students. As citizens in these peculiar times we must acknowledge that face coverings are not a substitute for social distancing. Students shall observe current social distancing guidelines where possible in accordance while in the classroom, laboratory, studio, creative space (hereafter referred to as instructional space) setting and in public spaces.

Students should avoid congregating around instructional space entrances before or after class sessions. If the instructional space has designated entrance and exit doors students are required to use them.

Students should exit the instructional space immediately after the end of instruction to help ensure social distancing and allow for the persons attending the next scheduled class session to enter.

In accordance withUWS 17andUWS 21 Wis.Admin.Codea student maybe subject to disciplinary sanctions for failure to comply with policy, including this syllabus, for failure to comply with the directions of a University Official, for disruptive behavior in the classroom, or any other prohibited action. This prohibited behavior includes but not limited to failure to follow course, laboratory, or safety rules, or endangering the health of others. A student maybe dropped from class at anytime for misconduct or disruptive behavior in the classroom upon recommendation of the instructor and subject to the procedure established in UWS 17. A student may also receive disciplinary sanctions through the    Office of Judicial Conduct formisconductor disruptive behavior, including endangering the health of others, in the classroom.

COVID- 19 Resources

Specific COVID-19 guidelines may change during the semester based on current public health conditions  and level of community transmission, and will be announced via email by the Chancellor’s Office.  Please refer tohttps://www.uwgb.edu/phoenix-forward/students/covid-19-syllabus-statement/for the most     up-to-date classroom guidelines.

•    UWGB Coronavirus Information page

https://www.uwgb.edu/coronavirus/

•   Wisconsin Department of Health Services COVID-19: Avoid Illness page

https://www.dhs.wisconsin.gov/covid-19/protect.htm#:~:text=wash%20your%20hands.-,Wear%20a%20cloth%20face%20covering%20over%20your%20mouth%20and%20nose,6%20fe et%20away%20from%20others.&text=Masks%20or%20cloth%20face%20coverings,remove%20t he%20covering%20without%20assistance

•   CDC Coronavirus page

https://www.cdc.gov/coronavirus/2019-ncov/index.html

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