# MA120 Basic Concepts of Statistics

## for F2T 2007

**Mission Statement:** The mission of Park University, an entrepreneurial institution of learning, is to provide access to academic excellence, which will prepare learners to think critically, communicate effectively and engage in lifelong learning while serving a global community.**Vision Statement:** Park University will be a renowned international leader in providing innovative educational opportunities for learners within the global society.

| MA 120 Basic Concepts of Statistics |

| F2T 2007 DLA |

| Cartwright, Raymond |

| Adjunct Faculty/Senior Instructor |

| AA/Education |

| Online |

| 24/7 |

| |

| 10/22/07 - 12/16/07 |

| Monday - Sunday |

| 24 Hours |

| 3 |

**Textbook:**

Required Text: Elementary Statistics - 4th Ed. Author: Allan B. Bluman ISBN: 0-07-353496-1

Textbooks can be purchased through the MBS bookstore

Textbooks can be purchased through the Parkville Bookstore

**Additional Resources:**

McAfee Memorial Library - Online information, links, electronic databases and the Online catalog. Contact the library for further assistance via email or at 800-270-4347.

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Resources for Current Students - A great place to look for all kinds of information http://www.park.edu/Current/.

Advising - Park University would like to assist you in achieving your educational goals. Please contact your Campus Center for advising or enrollment adjustment information.

Online Classroom Technical Support - For technical assistance with the Online classroom, email helpdesk@parkonline.org or call the helpdesk at 866-301-PARK (7275). To see the technical requirements for Online courses, please visit the http://parkonline.org website, and click on the "Technical Requirements" link, and click on "BROWSER Test" to see if your system is ready.

FAQ's for Online Students - You might find the answer to your questions here.

**Course Description:**

A development of certain basic concepts in probability and statistics that are pertinent to most disciplines. Topics include: probability models, parameters, statistics and sampling procedures, hypothesis testing, correlation, and regression. 3:0:3

**Learning Outcomes:**

**Core Learning Outcomes**

- Compute descriptive statistics for raw data as well as grouped data
- Determine appropriate features of a frequency distribution
- Apply Chebyshev's Theorem
- Distinguish between and provide relevant descriptions of a sample and a population
- Apply the rules of combinatorics
- Differentiate between classical and frequency approaches to probability
- Apply set-theoretic ideas to events
- Apply basic rules of probability
- Apply the concepts of specific discrete random variables and probability distributions
- Compute probabilities of a normal distribution

**Core Assessment:**

Description of MA 120 Core Assessment

One problem with multiple parts for each numbered item, except for item #3, which contains four separate problems.

1. Compute the mean, median, mode, and standard deviation for a sample of 8 to 12 data.

2. Compute the mean and standard deviation of a grouped frequency distribution with 4 classes.

3. Compute the probability of four problems from among these kinds or combinations there of:

a. the probability of an event based upon a two-dimensional table;

b. the probability of an event that involves using the addition rule;

c. the probability of an event that involves conditional probability;

d. the probability of an event that involves the use of independence of events;

e. the probability of an event based upon permutations and/or combinations;

f. the probability of an event using the multiplication rule; or

g. the probability of an event found by finding the probability of the complementary event.

4. Compute probabilities associated with a binomial random variable associated with a practical situation.

5. Compute probabilities associated with either a non-standard normal probability distribution.

6. Compute and interpret a confidence interval for a mean and/ or for a proportion.

Link to Class Rubric**Class Assessment:**

You will be graded in three major areas: WEEKLY CLASS DISCUSSIONS, WEEKLY HOMEWORK, WEEKLY QUIZZES, and a FINAL PROCTORED EXAMINATION. -

CLASS DISCUSSIONS:

- You will participate in eight (8) Class Discussion forums. Assignments and questions will be posted and you will be required to complete the assignments or answer one of the questions. Everyone will not be able to post the required writing assignment or answers to the questions, so credit may be earned by posting comments on the answers already posted by your classmates. Inadequate comments such as "I agree" or "Ditto" will not earn points.

- The Assessment and Evaluation Grading Rubic below illustrates the requirements.

- ASSESSMENT AND EVALUATION GRADING RUBRIC OF “WEEKLY PARTICIPATION” Each student brings different life experiences, points of view, and ways of knowing to our classroom and our learning environment. Everyone should plan to become an active member of the learning community. “Participation” means 1) forming supportive and inquiring relationships with other students in the class through postings to one another, sharing points of view, and providing encouragement and constructive critique, 2) reading the assigned readings before beginning your assignments and online development, and 3) applying readings to the virtual discussions and course development.

- REQUIRED COMPONENTS:

- 1. Complete Discussion Questions/Assignments by due dates.

- 2. Provide valuable and thoughtful feedback for peers with constructive criticisms and critiques.

- 3. Respond to discussion questions with applicable information and concepts shared in the readings, to answer questions and/or solve problems.

- 4. Present original thoughts and ideas in postings, (avoid simple agreement/ disagreement with, or restatement of other's postings.

- 1. Complete Discussion Questions/Assignments by due dates.

- ASSESSMENT AND EVALUATION GRADING RUBRIC OF “WEEKLY PARTICIPATION” Each student brings different life experiences, points of view, and ways of knowing to our classroom and our learning environment. Everyone should plan to become an active member of the learning community. “Participation” means 1) forming supportive and inquiring relationships with other students in the class through postings to one another, sharing points of view, and providing encouragement and constructive critique, 2) reading the assigned readings before beginning your assignments and online development, and 3) applying readings to the virtual discussions and course development.

WEEKLY HOMEWORK: You will be required to surf the world wide web (internet) each to research the subject for that week, then post a short article, at least 1/2 page but not more than 1 full page, on that subject in the Homework thread. You must include the URL from which the information was copied.

WEEKLY QUIZZES: You will be required to INDIVIDUALLY complete seven (7) Quizzes. You are NOT allowed to discuss any aspect of the quizzes with anyone except the instructor. -

FINAL PROCTORED EXAMINATION:

- A final proctored examination will be taken in a proctored testing environment during the 8th week of the course at one of the Park University sites around the world or at an alternative location. For proctored examinations, photo identification is required at the time of the test.

- It is your responsibility to arrange for a proctor, by the 6th week of the term, who is accepted and approved by the course instructor.

- Approval of proctors is the discretion of the Online Instructor.

- A proctor request form will be made available to you during the first week of the course so that you can send your requested proctor information to your instructor for approval.

- Failure to take a final proctored examination will result in an automatic "F" grade for the course.

**Grading:**

You will be evaluated on the total number of points you earn as compared to the greatest amount of points that may be earned in each course activity. In determining the number of points assigned to an activity, the major factors will be the following questions: - Was the work completed? - Was the work completed correctly? - Was the work completed on time? The table below illustrates the Grading Plan:

Assignment Points Due

Week 1-7 Homework 30 ea By midnight Sunday each Week

Week 1-7 Online Quiz 40 ea By midnight Sunday each Week

Final Examination 250 By midnight Sunday of Week 8

Total Points for Course 1000

**Late Submission of Course Materials:**

Class Discussion assignments and Online Quizzes must be completed and posted by the dates shown above, which is no later than 11:59 pm Mountain Daylight/Standard Time.. You will receive the full amount of allocated points for the weekly Class Discussions only if you post by midnight Sunday. Otherwise, you will receive 50% of the earned score.

Online Quizzes will not be accepted late. Access to the Quizzes will be closed at the end of the class week which is stated above.

**Classroom Rules of Conduct:**

Policy #1: Submission of Work: A class week is defined as the period of time between Monday 12:01 am MST and Sunday at 11:59 PM MST. The first week begins the first day of the term/semester. Assignments scheduled for completion during a class week should be completed and successfully submitted by the posted due date. Create a back up file of every piece of work you submit for grading. This will ensure that a computer glitch or a glitch in cyberspace won't erase your efforts. When files are sent attached to an email, the files should be in either Microsoft Word, RTF, ASCII, txt, or PDF file formats.

Policy #2: Ground Rules for Online Communication & Participation General email: Students should use email for private messages to the instructor and other students. When sending email other than assignments, you must identify yourself fully by name and class in all email sent to your instructor and/or other members of our class. Online threaded discussions: are public messages and all writings in this area will be viewable by the entire class or assigned group members. Online Instructor Response Policy: Online Instructors will check email frequently and will respond to course-related questions within 24-48 hours. Observation of "Netiquette": All your Online communications need to be composed with fairness, honesty and tact. Spelling and grammar are very important in an Online course. What you put into an Online course reflects on your level of professionalism. Here are a couple of Online references that discuss writing Online http://goto.intwg.com/ and netiquette http://www.albion.com/netiquette/corerules.html. Please check the Announcements area before you ask general course "housekeeping" questions (i.e. how do I submit assignment 3?). If you don't see your question there, then please contact your instructor.

Policy #3: What to do if you experience technical problems or have questions about the Online classroom. If you experience computer difficulties (need help downloading a browser or plug-in, you need help logging into the course, or if you experience any errors or problems while in your Online course, click on the button in your Online Classroom, then click on the helpdesk menu item, and then fill out the form or call the helpdesk for assistance. If the issue is preventing you from submitting or completing any coursework, contact your instructor immediately.

Policy #4: DISABILITY GUIDELINES: Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the American with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning the criteria for special assistance and Park University's policies and procedures related to disability can be found on the Park University web page: http://www.park.edu/disability.

**Course Topic/Dates/Assignments:**

**Week 1:**

**Course Overview for this Unit:**

**In Unit 1** we'll learn what the topic of statistics entails. We’ll discuss some ways to collect the needed data for a statistical study. By the end the unit we’ll have a view of how the two distinct divisions of statistics, descriptive and inferential, are related.

**Course Objectives for this Unit:**

After successfully completing this week, the student learner should be able to:

- Distinguish between and provide relevant descriptions of a sample and a population

**Course Activities for this Unit: **

**Textbook:**Read Chapter 1 and complete suggested practice exercises.**Concept Guide:**View developer's concept files, and MathZone's eProfessor, video, and PowerPoint prestentations.**Check Your Understanding:**Use the interactive Learn It tool to test your own understanding.**Class Participation:**Complete postings in Class Discussion and Study Group threads.**Assignments:**Complete Homework and Quiz found in Unit 1 menu.

**Week 2:**

**Course Overview for this Unit:**

In Unit 2 we'll discover how to convert pure data into corrupted data, also referred to as ungrouped data into grouped data. Then we will examine some of the many ways data can be visually displayed. We will finish with a consideration of a method matching and graphing two sets of data to analyze the possibility of a relationship. We will return to this analysis graph again in Unit 8 when we discuss correlation and regression.

**Course Objectives for this Unit:
**

**After successfully completing this week, the student learner should be able to:**

- Determine appropriate features of a frequency distribution

**Course Activities for this Unit: **

- Textbook: Read Chapter 2 and complete suggested practice exercises.
- Concept Guide: View developer's concept files, and MathZone's eProfessor, video, and PowerPoint presentations.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework and Quiz found in Unit 2 menu.

**Week 3:**

**Course Overview for this Unit:**

In Unit 3 we will examine ways to describe data by looking at its central tendency, its variation from its center, and how to determine the location of an element within a data set. A method of finding the proportions of variation a data set possesses will also be covered.

**Course Objectives for this Unit:
**

After successfully completing this week, the student learner should be able to:

- Compute descriptive statistics for raw data as well as grouped data
- Apply Chebyshev’s Theorem

**Course Activities for this ****Unit: **

- Textbook: Read Chapter 3 and complete suggested practice exercises.
- Concept Guide: View developer's concept files, and MathZone's eProfessor, video, and PowerPoint presentations.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework and Quiz found in Unit 3 menu.

**Week 4:**

**Course Overview for this Unit:**

In Unit 4 we'll explore the basic concepts of probabilities, the branch of mathematics that allows us to take a sample and make predictions about the population from which it was derived. We’ll strive to gain a fundamental understanding of probability through its addition, multiplication and counting rules.

**Course Objectives for this Unit:
**

**After successfully completing this week, the student learner should be able to:**

- Differentiate between classical and frequency approaches to probability
- Apply set-theoretic ideas to events
- Apply the basic rules of probability
- Apply the rules of combinatorics

**Course Activities for this Unit: **

- Textbook: Read Chapter 4 and complete suggested practice exercises.
- Concept Guide: View developer's concept files, and MathZone's eProfessor, video, and PowerPoint presentations.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework or Quiz found in Unit 4 menu. If both are present, complete both.

**Week 5:**

**Course Overview for this Unit:**

In Unit 5 we combine the probability concepts and the statistical concepts we previously learned to construct discrete probability distributions. Then we'll learn how to find statistics of the distribution. The unit ends with a discussion on a specific discrete probability distribution called the binomial distribution.

**Course Objectives for this Unit:
**

**After successfully completing this week, the student learner should be able to:**

**Apply the concepts of specific discrete random variables and probability distributions**

**Course** **Activities for this Unit:**

- Textbook: Read Chapter 5 and complete suggested practice exercises.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework or Quiz found in Unit 5 menu. If both are present, complete both.

**Week 6: **

**Course Overview for this Unit:**

In Unit 6 the discussion changes from discrete distributions to continuous random variable distributions. We begin looking at the Normal distribution and then quickly moving on the the Standard Normal distribution. We conclude the unit by learing how the Central Limit Theorem can be applied to sample data sets.

**Course Objectives for this Unit:**

**After successfully completing this week, the student learner should be able to:**

- Compute probabilities of a normal distribution

**Course Activities for this Unit: **

- Textbook: Read Chapter 6 and complete suggested practice exercises.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework or Quiz found in Unit 6 menu. If both are present, complete both.

**Week 7:**

**Course Overview for this Unit:**

In Unit 7 we move into inferential statistcs. We learn how to use a sample mean to estimate the population mean, and how we can confidently report its value within a specific interval.

**Course Objectives for this Unit:**

**After successfully completing this week, the student learner should be able to:**

- Construct confidence intervals

**Course Activities for this Unit: **

- Textbook: Read Chapter 7 and complete suggested practice exercises.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group threads.
- Assignments: Complete Homework or Quiz found in Unit 7 menu. If both are present, complete both.

**Week 8:**

**Course Overview for this Unit:**

In Unit 8 we will examine the basics of hypothesis testing by using one-sample procedures for the hypothesis test of the population mean. In addition we will conclude our examination of topics in statistics by discussing the purpose of regression and correlation analysis. First, we'll examine some introductory terms, then focus on simple linear regression analysis and simple linear correlation analysis. During this final week of the course you will also complete the proctored Final Exam and the Course Evaluation.

**Course Objectives for this Unit:
**

**After successfully completing this week, the student learner should be able to:**

- Perform a basic hypothesis test of a population mean
- Use linear correlation for analysis of data sets with one independent variable.
- Use linear regression for analysis of data sets with one independent variable.

**Course Activities for this Unit: **

- Textbook: Read Chapter 8, Sections 1 - 4 and Chapter 10, Sections 1 - 3, and complete suggested practice exercises.
- Check Your Understanding: Use the interactive Learn It tool to test your own understanding.
- Class Participation: Complete postings in Class Discussion and Study Group Threads.
- Assignments: Complete Homework or Quiz found in Week 8 Menu. If both are present, complete both.

**Academic Honesty:**

Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life. Park University 2007-2008 Undergraduate Catalog Page 85-86

Academic dishonesty includes committing or the attempt to commit cheating, plagiarism, falsifying academic records, and other acts intentionally designed to provide unfair advantage to the students.

Cheating includes, but is not limited to, intentionally giving or receiving unauthorized air or notes on examinations, papers, laboratory reports, exercises, projects, or class assignments which are intended to be individually completed. Cheating also includes the unauthorized copying of tests or any other deceit or fraud related to the student's academic conduct.

Falsifying academic records includes, but is not limited to, altering grades or other academic records.

Other acts that constitute academic dishonesty include:

Stealing, manipulating, or interfering with an academic work of another student or faculty member.

Collusion with other students on work to be completed by one student.

Lying to or deceiving a faculty member.

ALL GRADED WORK FOR THIS COURSE MUST BE YOUR OWN. EVERY QUIZ INSTRUCTION PAGE STATES THAT YOU ARE NOT TO RECEIVE OUTSIDE ASSISTANCE FROM ANYONE OTHER THAN YOUR INSTRUCTOR. PLEASE DO NOT VIOLATE THIS RULE. WARNING: When I repeatedly see identical incorrect answers on quizzes, I will be suspicious and will investigate.

**Plagiarism:**

Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. Park University 2007-2008 Undergraduate Catalog Page 85

**Attendance Policy:**

Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

- The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
- Work missed through unexcused absences must also be made up within the semester/term of enrollment.
- Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
- In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "F".
- A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
- Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
- Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.

**ONLINE NOTE:**An attendance report of "P" (present) will be recorded for students who have logged in to the Online classroom at least once during each week of the term. Recording of attendance is not equivalent to participation. Participation grades will be assigned by each instructor according to the criteria in the Grading Policy section of the syllabus.

Park University 2007-2008 Undergraduate Catalog Page 87-88

**Disability Guidelines:**

Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: http://www.park.edu/disability .

Competency | Exceeds Expectation (3) | Meets Expectation (2) | Does Not Meet Expectation (1) | No Evidence (0) |

Evaluation Outcomes 10 | Can perform and interpret a hypothesis test with 100% accuracy. | Can perform and interpret a hypothesis test with at least 80% accuracy. | Can perform and interpret a hypothesis test with less than 80% accuracy. | Makes no attempt to perform a test of hypothesis. |

Synthesis Outcomes 10 | Can compute and interpret a confidence interval for a sample mean for small and large samples, and for a proportion with 100% accuracy. | Can compute and interpret a confidence interval for a sample mean for small and large samples, and for a proportion with at least 80% accuracy. | Can compute and interpret a confidence interval for a sample mean for small and large samples, and for a proportion with less than 80% accuracy. | Makes no attempt to compute or interpret a confidence interval. |

Analysis Outcomes 10 | Can apply the normal distribution, Central limit theorem, and binomial distribution to practical problems with 100% accuracy. | Can apply the normal distribution, Central limit theorem, and binomial distribution to practical problems with at least 80% accuracy. | Can apply the normal distribution, Central limit theorem, and binomial distribution to practical problems with less than 80% accuracy. | Makes no attempt to apply the normal distribution, Central Limit Theorem, or binomial distribution. |

Terminology Outcomes 4,5,7 | Can explain event, simple event, mutually exclusive events, independent events, discrete random variable, continuous random variable, sample, and population with 100% accuracy. | Can explain event, simple event, mutually exclusive events, independent events, discrete random variable, continuous random variable, sample, and population with at least 80% accuracy. | Can explain event, simple event, mutually exclusive events, independent events, discrete random variable, continuous random variable, sample, and population with less than 80% accuracy. | Makes no attempt to explain any of the terms listed. |

Concepts Outcomes 1,6 | Can explain mean, median, mode, standard deviation, simple probability, and measures of location with 100% accuracy. | Can explain mean, median, mode, standard deviation, simple probability, and measures of location with at least 80% accuracy. | Can explain mean, median, mode, standard deviation, simple probability, and measures of location with less than 80% accuracy. | Makes no attempt to define any concept. |

Application Outcomes 1,2,3,8,9 | Compute probabilities using addition multiplication, and complement rules and conditional probabilities. Compute statistical quantities for raw and grouped data. Compute probabilities using combinatorics, discrete random variables, and continuous random variables. All must be done with 100% accuracy. | Compute probabilities using addition multiplication, and complement rules and conditional probabilities. Compute statistical quantities for raw and grouped data. Compute probabilities using combinatorics, discrete random variables, and continuous random variables. All must be done with at least 80% accuracy. | Compute probabilities using addition multiplication, and complement rules and conditional probabilities. Compute statistical quantities for raw and grouped data. Compute probabilities using combinatorics, discrete random variables, and continuous random variables. All are done with less than 80% accuracy. | Makes no attempt to compute any of the probabilities or statistics listed. |

Whole Artifact Outcomes 7,8 | Can apply the concepts of probability and statistics to real-world problems in other disciplines with 100 % accuracy. | Can apply the concepts of probability and statistics to real-world problems in other disciplines with at least 80 % accuracy. | Can apply the concepts of probability and statistics to real-world problems in other disciplines with less than 80% accuracy. | Makes no attempt to apply the concepts to real-world problems. |

Components Outcomes 1 | Can use a calculator or other computing device to compute statistics with 100% accuracy. | Can use a calculator or other computing device to compute statistics with at least 80% accuracy. | Can use a calculator or other computing device to compute statistics with less 80% accuracy. | Makes no attempt to use any computing device to compute statistics. |

**Copyright:**

**Last Updated:***9/28/2007 9:17:51 PM*