Author:
Fahmil Shah
Subject:
Mathematics, Statistics and Probability
Material Type:
Module
Level:
Community College / Lower Division
Provider:
Roxbury Community College
Tags:
Mass CC Math, Mass CC Mathematics, Math, Mathematics, Open Washington, OpenWA, Statistics, WA 100, Washington 100, mass-cc-math, mass-cc-mathematics, open-washington, openwa, wa-100, washington-100
License:
Creative Commons Attribution
Language:
English

Introductory Statistics

Overview

  Introductory Statistics is a non-calculus based, descriptive statistics course with applications. Topics include methods of collecting, organizing, and interpreting data; measures of central tendency, position, and variability for grouped and ungrouped data; frequency distributions and their graphical representations; introduction to probability theory, standard normal distribution, and areas under the curve. Course materials created by Fahmil Shah, content added to OER Commons by Victoria Vidal.

OER Course Information

Fahmil Shah

Summer 2019

MAT 120 OER

Level 1 – Adopt

This OER course has been designed to be implemented in Summer II 2019. The materials will be adapted following the end of the course in order to be improved for subsequent semesters. I am willing to share any updated versions of the materials as they are created and refined.

1.) Course Description

Introductory Statistics is a non-calculus based, descriptive statistics course with applications. Topics include methods of collecting, organizing, and interpreting data; measures of central tendency, position, and variability for grouped and ungrouped data; frequency distributions and their graphical representations; introduction to probability theory, standard normal distribution, and areas under the curve.

2.) Instructional Objectives

(a) Calculate measures of central tendency and variation for sets of grouped and ungrouped data

(b) Create a table of the frequency distribution for a set of grouped or ungrouped data

(c) Design an opinion survey, choose a random unbiased sample, and conduct the survey

(d) Use the graphing calculator for statistical analysis

(e) Calculate the probabilities of simple events.

3.) Link to Open Textbook

Introductory Statistics by Illowsky and Dean

Link: https://openstax.org/details/books/introductory-statistics

4.) Alignment of Open Textbook with Instructional Objectives

From above, the objectives are:

(a) Calculate measures of central tendency and variation for sets of grouped and ungrouped data

(b) Create a table of the frequency distribution for a set of grouped or ungrouped data

(c) Design an opinion survey, choose a random unbiased sample, and conduct the survey

(d) Use the graphing calculator for statistical analysis

(e) Calculate the probabilities of simple events.

This course utilizes content from the following sections of Introductory Statistics and assignments have been created using the book. Homeworks assign problems from the textbook to be done at home, and problem sets adapt problems from the book to create sets that are to be completed during class. These assignments have been submitted in a summary document, as well as in separate word documents (as they will be distributed). The tentative timeline corresponds to a 5-week Summer session course.

Chapter and SectionsTentative TimelineCorresponding Assignments for Summer 2019
Chapter 1 – Sampling and Data Sections 1.1 – 1.4Week 1Homework Assignment 1 Problem Set 1
Chapter 2 – Descriptive Statistics Sections 2.1 – 2.7Week 1Homework Assignment 1 Problem Set 2
Chapter 3 – Probability Topics Sections 3.1 – 3.5Week 2Homework Assignment 2 Problem Set 3
Chapter 4 – Discrete Random Variables Section 4.1 – 4.2Week 2Homework Assignment 2 Problem Set 4
Chapter 5 – Continuous Random Variables Sections 5.1 – 5.2Week 3Homework Assignment 3 Problem Set 5
Chapter 6 – The Normal Distribution Sections 6.1 – 6.2Week 3Homework Assignment 3 Problem Set 6
Chapter 7 – The Central Limit Theorem Section 7.1, 7.3Week 4Homework Assignment 4 Problem Set 7
Chapter 8 – Confidence Intervals Section 8.1 – 8.3Week 4Homework Assignment 4 Problem Set 8
Chapter 9 – Hypothesis Testing with One Sample - Section 9.1 – 9.6Week 5Homework Assignment 5 Problem Set 9
Chapter 10 – Hypothesis Testing with Two Samples - Sections 10.1 – 10.4Week 5Homework Assignment 5 Problem Set 10

The table below presents the alignment between the course objectives and the Introductory Statistics textbook.

ObjectiveCorresponding Introductory Statistics Chapters
Calculate measures of central tendency and variation for sets of grouped and ungrouped dataChapter 2
Create a table of the frequency distribution for a set of grouped or ungrouped dataChapter 1
Design an opinion survey, choose a random unbiased sample, and conduct the surveyChapter 1
Use the graphing calculator for statistical analysisChapters 2, 7, 8, 9, 10
Calculate the probabilities of simple events.Chapters 3, 4, 5, 6

5.) Corresponding Problem Sets and Homework Assignments from Introductory Statistics can be found below. An overview document is also included, which has the assignments consolidated into a single document. Assignments may be modified in subsequent implementations of the course

 

 

Course Syllabus

Roxbury Community College

Course Syllabus

 

INTRODUCTION TO STATISTICS
MAT 120 2A - 3 credits

Monday/Wednesday/Thursday, 9:00 AM – 11:30 AM, Room 3-105

Classes begin 7/8/19 and end 8/8/19

Academic Calendar Link: http://www.rcc.mass.edu/current-students/academic-calendar-students 

You are advised to retain a copy of this syllabus in your personal files for use when applying for future degrees, certifications, or transfer of credit.

Instructor Information

Instructor:            Fahmil Shah

Email:                    fshah@rcc.mass.edu

Phone:                   617-331-3206 (cell)

Office Hours:       Upon Request

Communication:

Throughout the semester, I will communicate with you via your RCC email account. Please review the following link for assistance on using your email account:

http://www.rcc.mass.edu/current-students/electronic-tool-box/email

You may email me at the address above (or call me on the phone) with any questions you have regarding the course or material. You should also email me ahead of time if you are aware of any classes you may be missing in the future, or if you have to miss class for any reason.

General Course Description

Course Description:  Introductory Statistics is a non-calculus-based, descriptive statistics course with applications. Topics include methods of collecting, organizing, and interpreting data; measures of central tendency, position, and variability for grouped and ungrouped data; frequency distributions and their graphical representations; introduction to probability theory, standard normal distribution, and areas under the curve.

Prerequisites: Students must have passed Introductory Algebra (MAT 088) at RCC or another college or must have placed out of Introductory Algebra on the RCC Mathematics Placement Test.  If you have not met these prerequisites, please see me for placement into the proper mathematics course for you.  If you do not satisfy these pre-requisites, you will be withdrawn from the course.

Materials

Required Texts: Illowsky & Dean, Introductory Statistics. This OER text will be made available on MyRCC, and can be downloaded directly at the following link:

https://openstax.org/details/books/introductory-statistics

Technology Requirements: It is very useful to have a working knowledge of a spreadsheet application (e.g. Excel, OpenOffice, or Google Sheets) in order to create some of the tables/charts/graphs on the computer. I will go over relevant functions throughout the course. We will also be using graphing/statistics software (e.g. Desmos or Geogebra), which can be accessed on a computer or mobile phone through apps and online. These free online applications can be accessed online using the following links:

www.geogebra.com/graphing

www.desmos.com/calculator

If you need help learning how to use the software, please speak with me.

Instructional Objectives

By fully participating in this course, you should be able to:

(a) Calculate measures of central tendency and variation for sets of grouped and ungrouped data

(b) Create a table of the frequency distribution for a set of grouped or ungrouped data

(c) Design an opinion survey, choose a random unbiased sample, and conduct the survey

(d) Use the graphing calculator for statistical analysis

(e) Calculate the probabilities of simple events.

Methods of Instruction

Teaching Philosophy:

My goal in this class is to not only to help you develop a set of tools that can help you understand what statistics is and how to use it, but also to understand the important of statistics as a field, and see how it can help us understand the information that we see in the newspaper, on television, and on the internet. We are bombarded with data in the 21st century, and the material in this course is intended to help us make sense of the data we see, read, and hear all around us.

I believe that learning material with understanding is developed not through lecture and copying down of information, but through collaboration and problem solving. For this reason, a goal of mine in this course is to use engaging problems and group work as a vehicle for us to understand the material at a deep level.

Instructor Responsibilities:

My role in the classroom is not to give you the answers, or to tell you what to do. My intent is for me to guide you through the semester as we discuss and learn about key ideas in Statistics. Much of the responsibility of learning will fall upon you, as you read the chapters, work on the assignments, and discuss the material with myself and your peers. My goal is to come prepared with the problems and information that will help you understand Statistics on a theoretical level and as a practical tool, and to answer any questions and give any assistance necessary as you learn the subject.

Course Completion Requirements

Your success in this course depends on the following:

  • There will be problem sets given throughout the semester, which will go over the material covered in class. This will account for 15% of your grade.
  • There will be homework assigned throughout the semester, which will be drawn from the textbook. This will be due after we go over the corresponding course material. This will be worth 25% of your grade.
  • There will be three exams throughout the semester, which will assess your understanding of the material covered in each of the modules. Problems will generally be a combination of computational problems, word problems, and open response problems. You must show your work for all problems, and partial credit will be given as appropriate. The lowest score of the three exams will be dropped. The two remaining scores will account for 20% of your final grade each.
  • There will be a final project, which will count for 20% of your grade. Details will be given during the semester.

Grading

Percentages for Final Course Grade:

ActivityGrade %
Problem Sets15
Homework25
Exams (Top 2)40
Final Project20
Total100

The final grade (rounded to the nearest whole number) will be computed as follows:

Grade RangeLetter Grade
93 – 100A
90 – 92A-
87 – 89B+
83 – 86B
80 – 82B-
77 – 79C+
73 – 76C
70 – 72C-
67 – 69D+
60 – 66D
0 – 59F

Please go to the Roxbury Community College Catalog for detailed information on the college’s grading policy:

http://www.rcc.mass.edu/images/pdf/academics/catalog_Revised100213.pdf

Academic Policies and Procedures

Attendance Policy:

Attendance is expected for all class sessions, as it is critical to the understanding of the course material. Due to the emphasis on work done in class (though problems and discussion), it is also influential in your final grade. Attendance will be taken towards the beginning of each class. Let me know if you will need to miss class for any reason and email me when possible in the case of an emergency or illness. Note that if you miss 3 consecutive classes without an excuse, you will be given a Withdrawn Administratively (WA) at the instructor’s discretion, which cannot be changed. You must contact the instructor regarding absences in order to avoid this.

Electronics Policy:

Cellular phones should not be used during class, unless required in an emergency, being used as a calculator, or for another approved usage in class. Otherwise, it should remain out of sight until the end of class, or during breaks. Violation of this policy may result is confiscation of the device, or a report to the appropriate authorities. Except for the event of an emergency, calls and texts should take place OUTSIDE of class whenever possible. You should not be texting during class.

Late Work:

You should speak with me, or contact me via email if you have any issue completing assignments on time. Make up exams will be given only with an appropriate excuse, and will be given only at the instructor’s discretion. Please contact me if you have any issues that would create the need for a makeup exam. Because one of the exams will be dropped, a makeup will only be granted in extreme circumstances.

Coursework Difficulties:

Please discuss any issues that you are having in completing the coursework on time with me. I am available to talk this over with you by appointment, during breaks, or after class. It is recommended that you go for tutoring at the Learning Center (room 3-207) for one on one tutoring appointments, or to the Math Clinic (room 3-206) for drop-in tutoring if you are having any difficulties understanding the material.

Incomplete Policy:

If you are unable to complete the coursework during the semester due to some catastrophic issue, you must contact me immediately to discuss your alternatives.

Student code of conduct

Students are required to adhere to the Student Code of Conduct delineated in the Roxbury Community College website and Student Handbook.

http://www.rcc.mass.edu/images/stories/policies/Code_of_Conduct_and_Disciplinary_Procedures.pdf

Accommodations

Roxbury Community College is committed to providing all qualified college students equal access to all programs and facilities. Students who have a documented physical, psychological, or learning disability and need academic accommodations must register with the Coordinator of Disability Services, Linda O’Connor. Please contact her in Room 207C in the Academic Building; email loconnor@rcc.mass.edu; or phone 617-708-3562.

Disability Services will provide you with an Accommodation Letter to provide to faculty. You need to present and discuss these recommendations with me within a reasonable period, prior to the end of the Drop/Add period.

Student Support Services

RCC offers a range of student support services including Advising, Tutoring, Math Clinic, Health Services, Library, Writing Center and Language Lab.

Topic Schedule (TENTATIVE)

WeekTopic

Week 1

(7/8 – 7/12)

Syllabus/Introductions

Chapter 1: Sampling and Data Chapter

2: Descriptive Statistics

Week 2

(7/15 – 7/19)

Chapter 3: Probability Topics

Exam 1

Chapter 4: Discrete Random Variables

Week 3

(7/22 – 7/26)

Chapter 5: Continuous Random Variables

Chapter 6: The Normal Distribution

Week 4

(7/29 – 8/2)

Exam 2

Chapter 7: The Central Limit Theorem

Chapter 8: Confidence Intervals

Week 5

(8/5 – 8/9)

Chapter 9: Hypothesis Testing With One Sample

Chapter 10: Hypothesis Testing With Two Samples

Exam 3

Final Presentations

 

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Problem Sets

Fahmil Shah

Summer 2019

MAT 120 OER

Level 1 – Adopt

This course has 10 problem sets, each corresponding to one chapter from the Introductory Statistics OER course.

Problem Set 1

Chapter 1 – Sampling and Data

Sections 1.1 – 1.4

 

Problem Set 2

Chapter 2 – Descriptive Statistics

Sections 2.1 – 2.7

 

Problem Set 3

Chapter 3 – Probability Topics

Sections 3.1 – 3.5

 

Problem Set 4

Chapter 4 – Discrete Random Variables

Section 4.1 – 4.2

 

Problem Set 5

Chapter 5 – Continuous Random Variables

Sections 5.1 – 5.2

 

Problem Set 6

Chapter 6 – The Normal Distribution

Sections 6.1 – 6.2

 

Problem Set 7

Chapter 7 – The Central Limit Theorem

Section 7.1, 7.3

 

Problem Set 8

Chapter 8 – Confidence Intervals

Section 8.1 – 8.3

 

Problem Set 9

Chapter 9 – Hypothesis Testing with One Sample

Section 9.1 – 9.6

 

Problem Set 10

Chapter 10 – Hypothesis Testing with Two Samples

Sections 10.1 – 10.4

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Untitled Section

Fahmil Shah

Summer 2019

MAT 120 OER

Level 1 – Adopt

Below is a summary of the homework assignments for the MAT 120 OER. Page numbers refers to numbers of the PDF pages.

Homework 1

Chapter 1 (pp. 60-69) #42, 43, 51, 52, 53, 54, 55, 74, 80, 82, 88, 89

Chapter 2 (pp. 147-168) #74, 78, 79, 80, 89, 90, 105, 109

 

Homework 2

Chapter 3 (pp. 228-240) #66, 80, 85, 90, 98, 109, 110, 111, 114, 115

Chapter 4 (pp. 296-300) #69

 

Homework 3

Chapter 5 (pp. 360-363) #72, 74, 79, 81, 85

Chapter 6 (pp. 397-402) #60, 61, 65, 68, 69, 71, 72, 78

 

Homework 4

Chapter 7 (pp. 438-446) #62, 68, 71, 78, 79, 80

Chapter 8 (pp. 491-500) #95, 98, 106, 115, 116, 123

 

 

Homework 5

Chapter 9 (pp. 548-563) #63, 65, 68, 69, 73, 80, 85

Chapter 10 (pp. 608-619) #78, 81, 89, 95, 102, 118, 119

 

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This work is licensed under a Creative Commons Attribution 4.0 International License.