# Elementary Statistics

**I. Course Prefix/Number: **
MAT 131

** Course Name: **
Elementary Statistics

** Credits: **
4 (4 lecture; 0 lab)

**II. Prerequisite **

MAT 080 or 2 semesters of high school geometry with a grade of C or better, and MAT 110 or the equivalent with a grade of C or better, or an appropriate score on the OCC Mathematics Assessment Test.

**III. Course (Catalog) Description **

This course is an introduction to modern statistics for students in physical, biological and social sciences. Frequency distributions, measures of central tendency and variation, elements of probability theory, statistical inference, sampling techniques, and correlation and regression are studied.

**IV. Learning Objectives **

1. Analyze techniques for data collection and organization

2. Calculate and interpret measures of central tendency and dispersion for individual and frequency data.

3. Produce and interpret graphs of frequency distributions.

4. Calculate and interpret probabilities

5. Create and interpret probability distributions.

6. Calculate probabilities, mean and standard deviation for the binomial distribution.

7. Determine probabilities and cutoff values for the normal distribution.

8. Apply the Central Limit Theorem to solve problems involving sampling distributions.

9. Produce and interpret confidence intervals for one population parameter including the mean, the standard deviation or variance, and proportions.

10. Create hypotheses, run hypothesis tests, and draw conclusions for one population parameter including the mean, the standard deviation or variance, and proportions.

11. Create hypotheses, run hypothesis tests, and draw conclusions for two population parameters including the mean, the standard deviation or variance, and proportions.

12. Calculate and interpret the linear correlation coefficients and regression lines.

13. Draw statistical inferences using the Goodness- of- Fit Test and Chi-Square Test for Independence.

2. Calculate and interpret measures of central tendency and dispersion for individual and frequency data.

3. Produce and interpret graphs of frequency distributions.

4. Calculate and interpret probabilities

5. Create and interpret probability distributions.

6. Calculate probabilities, mean and standard deviation for the binomial distribution.

7. Determine probabilities and cutoff values for the normal distribution.

8. Apply the Central Limit Theorem to solve problems involving sampling distributions.

9. Produce and interpret confidence intervals for one population parameter including the mean, the standard deviation or variance, and proportions.

10. Create hypotheses, run hypothesis tests, and draw conclusions for one population parameter including the mean, the standard deviation or variance, and proportions.

11. Create hypotheses, run hypothesis tests, and draw conclusions for two population parameters including the mean, the standard deviation or variance, and proportions.

12. Calculate and interpret the linear correlation coefficients and regression lines.

13. Draw statistical inferences using the Goodness- of- Fit Test and Chi-Square Test for Independence.

**V. Academic Integrity **

Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

• cheating,

• plagiarism (turning in work not written by you, or lacking proper citation),

• falsification and fabrication (lying or distorting the truth),

• helping others to cheat,

• unauthorized changes on official documents,

• pretending to be someone else or having someone else pretend to be you,

• making or accepting bribes, special favors, or threats, and

• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

**VI. Sequence of Topics **

A. Descriptive Statistics

1. Data Collection

2. Organizing data into frequency distributions

3. Graphing histograms and ogives

4. Measures of Central Tendency - mean, median, mode

5. Measures of variation: variance, standard deviation

6. Measures of position

B. Basic Probability Theory

1. Sample space and counting techniques including combinations

2. Complements

3. The Addition rule

4. Independence and the Multiplication rule

C. Probability Distributions

1. Normal distribution and normal curve

2. Binomial distribution and its relation to the normal distribution

3. The Central Limit Theorem

D. Statistical Inference

1. Estimation

2. The classical appropriate to hypothesis testing

3. The probability - value approach to hypotheses testing

4. Inferences involving one population with regard to means, standard deviation or variance, and proportions

5. Inferences involving two populations with regards to means, standard deviation or variance, and proportions

6. Coefficient of correlation and regression lines

7. Goodness of Fit test and Chi Squared test for Independence

1. Data Collection

2. Organizing data into frequency distributions

3. Graphing histograms and ogives

4. Measures of Central Tendency - mean, median, mode

5. Measures of variation: variance, standard deviation

6. Measures of position

B. Basic Probability Theory

1. Sample space and counting techniques including combinations

2. Complements

3. The Addition rule

4. Independence and the Multiplication rule

C. Probability Distributions

1. Normal distribution and normal curve

2. Binomial distribution and its relation to the normal distribution

3. The Central Limit Theorem

D. Statistical Inference

1. Estimation

2. The classical appropriate to hypothesis testing

3. The probability - value approach to hypotheses testing

4. Inferences involving one population with regard to means, standard deviation or variance, and proportions

5. Inferences involving two populations with regards to means, standard deviation or variance, and proportions

6. Coefficient of correlation and regression lines

7. Goodness of Fit test and Chi Squared test for Independence

**VII. Methods of Instruction **

(To be completed by instructor.)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.

Course may be taught as face-to-face, media-based, hybrid or online course.

**VIII. Course Practices Required **

(To be completed by instructor.)

**IX. Instructional Materials **

**Note:**Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page.

A graphics calculator is required. A TI-83/84 will be used for instructional purposes

**X. Methods of Evaluating Student Progress **

(To be completed by instructor.)

Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.

Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.

**XI. Other Course Information **

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.