Stat



COURSE SYLLABUS

Subject Title : Probability and Statistics

Subject Code : Math 223

Course Credit : 3 units

Pre-Requisite : Math 113 (College Algebra)

I. COURSE DESCRIPTION

The course covers the basic principles of statistics; presentation and analysis of data; mean, median, and mode; deviations; probability distributions; normal curves and applications; regression analysis and correlation; application to engineering problems.

II. GOALS AND OBJECTIVES

After completing this course, the student must be able to:

1. define relevant statistical terms;

2. discuss competently the following concepts the concepts of frequency distribution, measures of central tendency, probability distribution, normal distribution and inferential statistics; and

3. apply accurately statistical knowledge in solving specific engineering problem situations.

III. INSTRUCTIONAL MODES

1. Lecture and discussion

2. Problem solving

3. Exploration

4. Cooperative Learning

5. Discovery Approach

IV. COURSE OUTLINE

|Time Table |Topics |Specific Objectives |Suggested Activities |Evaluation |

| |COURSE ORIENTATION |Define statistics and other relevant terms |Lecture |Assignment |

| |TOPIC 1: BASIC CONCEPTS |Explain the importance of statistics |Classroom Discussion |Quiz |

|Sessions 1-2 |Definition of statistical Terms |Enumerate the steps in statistical inquiry |Recitation | |

|(3 hrs) |Importance of Statistics | | | |

| |Steps in Conducting a Statistical Inquiry | | | |

| |Sampling Techniques | | | |

|Session 3 |Quiz # 1 |

|(1.5 hours) | |

| |TOPIC 2: PRESENTATION OF DATA |Present data in textual form |Lecture |Assignment |

|Sessions 4-6 |Textual |Tabulate data |Board work |Seat work |

|(4.5 hrs) |Tabular |Graph data | |Quiz |

| |Graphical | | | |

|Session 7 |Quiz # 2 |

|(1.5 hours) | |

| |TOPIC 3: MEASURES OF CENTRAL TENDENCY |Define the three measures of central tendency |Lecture |Assignment |

| |4.1 Mean |Define skewness and kurtosis |Board work |Seat work |

|Sessions 8-11 |4.2 Median |Differentiate the three measures |Recitation |Quiz |

|(6 hrs) |4.3 Mode |Compute for the required measure given a set of|Class discussion | |

| |4.4 Skewness and Kurtosis |data | | |

|SESSION 12 | |

|(1.5 HOURS) |PRELIMINARY EXAMINATION |

| |TOPIC 4: MEASURES OF VARIATION |Define the different measures of variation. |Lecture |Assignment |

| |4.1 Range |Differentiate the five measures |Board work |Seat work |

|Sessions |4.2 Mean Absolute Deviation |Compute for the required measure given a set of|Recitation |Quiz |

|13-16 |4.3. Quartile Deviation |data. |Class discussion | |

|(6 hours) |4.4. Variance and Standard Deviation | | | |

| |4.5 Coefficient of Variation | | | |

|Session 17 |Quiz # 3 |

|(1.5 hours) | |

| | |Draw a tree diagram to find possible outcomes |Lecture |Assignment |

| | |in an experiment. |Board work |Seat work |

| | |Learn the short-cut in finding the number of |Recitation |Quiz |

| |TOPIC 5: PROBABILITY DISTRIBUTION |possible outcomes in an experiment. |Class discussion | |

| |Counting Techniques |Apply factorial, permutation, or combination in| | |

| |Probability |problem solving. | | |

|Sessions |Mathematical Expectations |Solve problems in probability. | | |

|18-22 |Normal Distribution |Know how to read and analyze the normal | | |

|(6 hours) | |distribution curve. | | |

| | |Solve problems using the normal curve. | | |

|Session 23 |Quiz # 4 |

|(1.5 hours) | |

|SESSION 24 |MIDTERM EXAMINATION |

|(1.5 HOURS) | |

| | |Learn the concepts of hypothesis testing. |Lecture |Assignment |

| | |Differentiate the two types of error. |Board work |Seat work |

| | |Define degrees of freedom and level of |Recitation |Quiz |

| |TOPIC 6: INFERENTIAL STATISTICS |significance. |Class discussion | |

| |6.1 Test of Hypothesis |Differentiate one-tailed test from two-tailed | | |

| |6.2 Test Concerning Means, Variations, and |test. | | |

|Sessions |Proportions |Write the null and alternative hypotheses. | | |

|25-29 |6.3 Contingency Table |Set-up the contingency table. | | |

|(7.5 hours) |6.4 Test of Independence |Apply the appropriate test to a given set of | | |

| |6.5 Goodness-of-Fit Test |data. | | |

| | |Make a decision based on computed values. | | |

|Session 30 |Quiz # 5 |

|(1.5 hours) | |

| | |Set-up the table of entries. |Lecture |Assignment |

| | |Write the null and alternative hypotheses. |Board work |Seat work |

|Sessions |TOPIC 7: ANALYSIS OF VARIANCE |Compute for the needed values. |Recitation |Quiz |

|31-32 | |Make a decision based on computed values. |Class discussion | |

|(3 hours) | | | | |

|Session 33 |Quiz # 6 |

|(1.5 hours) | |

| | |Learn the concepts of regression and |Lecture |Assignment |

| | |correlation. |Board work |Seat work |

|Sessions |TOPIC 8: REGRESSION AND CORRELATION |Compute for the needed values. |Recitation |Quiz |

|34-35 | |Interpret the data based on the computed |Class discussion | |

|(3 hours) | |values. | | |

|SESSION 36 | |

|(2 HOURS) |FINAL EXAMINATION |

V. STUDENT REQUIREMENTS

1. Quizzes

2. Major Exams (Prelim, Midterm, Finals)

3. Recitation, Assignments, Individual/Group works

4. Extension/ Outreach

5. Attendance/Deportment

VI. GRADING SYSTEM

Midterm and Final Grades: Average Final Grade:

Major Exams…………………………….35% Midterm grade……..60%

Quizzes…………………………………..30% Final grade…… ……40%

Assignments/Projects…………………..10%

Attendance/Deportment………………....10%

Class Participation………………………15% Total 100%

(Recitation, Individual/Group work, Oral Report)

Total 100 %

Passing Mark: Average Final Grade ≥ 75%

REFERENCES

Olvido, Lucrecia R., et al (2007). Lecture Modules and Workbook for Elementary. Pasig City:.Ricrich Printing & Publishing.

Blakeslee, Chinn. (1975). Introductory Statistics and Probability. Boston, U.S.A. : Houghton Mifflin Company.

Walpole, Ronald E., et al. (1998). Probability and Statistics for Engineers and Scientists. New Jersey: Prentice-Hall International, Inc.

|Prepared by: |Reviewed by: |Approved by: |

| | | |

|Emalyn D. Jose |Prof. Ma. Corazon D. Buenavente |Dr. Ma. Eugenia M. Yangco |

| | |Dean, CEIT |

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Rizal Technological University

College of Engineering & Industrial Technology

CIVIL ENGINEERING DEPARTMENT

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VISION

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