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UNIVERSITY OF THE PHILIPPINES SCHOOL OF STATISTICS STATISTICS 101: Elementary Statistics Course Syllabus 1st Semester, A.Y. 2011-2012 Instructor: Mr. Kevin Carl P. Santos

Faculty Room No.: FR 21 Consultation Hours: WF 1-2:30 pm, 5:30-7pm/ TTh 11-3pm (by appointment) Contact Number: 928-0881 (office) E-mail Address: [email protected] Class Hours: WF 2:30-4/ 4-5:30 pm

Course Objectives By the end of the course, the student should be able to Formulate real problems in statistical terms Determine the appropriate statistical tools needed in answering selected types of research problems Perform simple statistical analysis Interpret and report the results of the analysis Course Prerequisite Math 11/17/60. Algebra / Algebra and Trigonometry / Pre-Calculus You must already be familiar with the following concepts that were discussed in Math 11/17/60: algebra of numbers algebraic expressions set operations functions (domain, range, etc.) Course Outline 1. Introduction 1.1 Basic Concepts 1.2 Fields of Statistics 1.3 Steps in a Statistical Inquiry 2. Collection of Data 2.1 Measurement 2.2 Data Collection Methods 2.3 The Questionnaire (optional) 2.4 The Philippine Statistical System (optional) 3. Sampling and Sampling Techniques 3.1 Basic Concepts 3.2 Methods of Probability Sampling 3.3 Methods of Non-probability Sampling 3.4 Sample Size Determination 4. Presentation of Data 4.1. Textual Presentation 4.2 Tabular Presentation 4.3 Graphical Presentation Santos, Kevin Carl

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5. Organization of Data 5.1 Raw Data and Array 5.2 Frequency Distribution 6. Measures of Central Tendency 6.1 Summation 6.2 The Arithmetic Mean 6.3 The Median 6.4 The Mode 7. Measures of Location 7.1 The Percentiles 7.2 The Quartiles 7.3 The Deciles 8. Measures of Dispersion 8.1 The Range 8.2 The Variance and the Standard Deviation 8.3 The Coefficient of Variation 9. Measure of Skewness 9.1 Symmetry and Skewness 9.2 Common Measures of Skewness 12. Exploratory Data Analysis (EDA) 12.1 Basic Elements of EDA 12.2 Steam-and-Leaf Display 12.3 Boxplots 10. Introduction to Probability 10.1 Probabilistic Models 10.2 Basic Concepts of Probability 10.3 Approaches to Assigning Probabilities 10.4 Rules of Counting (optional) 10.5 Properties of a Probability Function 10.6 Conditional Probability 10.7 Independent Events 10.8 Random Variables and Distributions 10.9 Expected Value of a Random Variable 10.10 Normal and Binomial Distributions 11. Sampling Distributions 11.1 Basic Concepts 11.2 Central Limit Theorem 11.3 Sampling from a Normal Distribution 13. Estimation: Single Population 13.1 Basic Concept of Estimating Population Parameter 13.2 Point Estimation of a Parameter 13.3 Confidence Interval for the Mean 13.4 Confidence Interval for the Proportion 13.5 Determining the Sample Size 14. Estimation: Two Populations 14.1 Basic Concepts in Selecting Samples from Two Populations 14.2 Point Estimation of the Difference Between Two Means and of the Difference Between Two Means 14.3 Confidence Interval for the Difference of Means 14.4 Confidence Interval for the Difference of Proportions Santos, Kevin Carl

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15. Tests of Hypotheses: Single Population 15.1 Basic Concepts in Testing Statistical Hypotheses 15.2 Hypothesis Tests for the Mean 15.3 Hypothesis Tests for the Proportion 16. Tests of Hypotheses: Two Populations 16.1 Hypothesis Tests for Two Means 16.2 Hypothesis Tests for Two Proportions 17. Chi-square Test for Independence 18. Simple Linear Regression Analysis 18.1 Correlation Analysis 18.2 Simple Linear Regression Analysis 18.3 Estimation Using the Method of Least Squares 18.4 Diagnostic Checking (optional) Textbook: Elementary Statistics (2010). Almeda, Capistrano and Sarte. Other References 1. Introduction to Statistics (3rd Edition). Walpole. 2. Introduction to Statistics and Probability. Mendenhall. Course Requirements Long Exams There will be 3 long exams for this course. The coverage of the exams is as follows: First Exam Second Exam Third Exam

Coverage Sections 1-9, 12 Sections 10-11 Sections 13-18

The three (3) long exams will be scheduled outside class hours. All exams are closed notes exams. Formula sheets will be provided only when necessary. If you missed an exam for valid reasons, see me as soon as possible and present the proper certification. Make-up exams (coverage: all chapters) will be given at the end of the semester. Final Exam The coverage of the final exam will be from Sections 1 – 18. This will be a test on how well you know the methods, concepts and their properties without requiring any hardcore computations. There will be no exemptions from the final exam. This is a departmental exam. The final exam will be on October 13, 2011 (Thursday) 8-12 nn. Attendance Attendance will be checked at the end of the class. The maximum number of excuses or unexcused absences is 6. In class, you are all expected to participate and to be attentive.

Santos, Kevin Carl

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Classroom Requirements 1. 4 x 6 WHITE index card Include the following in your index card: Name, Student Number, Nickname, College and Course, 1x1 Recent ID picture on the right-hand side, Contact Number, Email Address, Permanent and Present Address, Schedule for the semester at the back) Indicate if you are employed and/or graduating this semester 2. Proof that you passed the course prerequisite (e.g. TCG or authenticated CRS printout of grades) 3. Textbook – Elementary Statistics by Almeda, Capistrano and Sarte 4. Scientific Calculator Grading System 60% - 3 Long Exams 30% - Final Exam 10% - Quizzes, Assignments, etc. Grading Scale Let x be your (rounded up) final grade. 96 < x < 100 91 < x < 96 87 < x < 91 83 < x < 87 79 < x < 83

1.0 1.25 1.5 1.75 2.0

75 < x < 79 71 < x < 75 66 < x < 71 60 < x < 66 55 < x < 60 x < 55

2.25 2.5 2.75 3.0 4.0 5.0

*If you intend to drop the course, please be reminded of the deadline for dropping (September 12, 2011Monday) and provide me the instructor’s copy. Classroom Policies 1. If caught cheating in any means, a grade of 5 will be automatically given to you. This involves the act of plagiarism. 2. No special treatment or project will be given to anyone. 3. Please always bring your book and scientific calculator. Once a student does not bring at least one of them, a quiz will be given to class. 4. Put your mobile phones in silent mode. Turn off your other electronic gadgets which have nothing to do with the classroom activity. Do NOT use your mobile phones while in class.

Santos, Kevin Carl

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Faculty Room No.: FR 21 Consultation Hours: WF 1-2:30 pm, 5:30-7pm/ TTh 11-3pm (by appointment) Contact Number: 928-0881 (office) E-mail Address: [email protected] Class Hours: WF 2:30-4/ 4-5:30 pm

Course Objectives By the end of the course, the student should be able to Formulate real problems in statistical terms Determine the appropriate statistical tools needed in answering selected types of research problems Perform simple statistical analysis Interpret and report the results of the analysis Course Prerequisite Math 11/17/60. Algebra / Algebra and Trigonometry / Pre-Calculus You must already be familiar with the following concepts that were discussed in Math 11/17/60: algebra of numbers algebraic expressions set operations functions (domain, range, etc.) Course Outline 1. Introduction 1.1 Basic Concepts 1.2 Fields of Statistics 1.3 Steps in a Statistical Inquiry 2. Collection of Data 2.1 Measurement 2.2 Data Collection Methods 2.3 The Questionnaire (optional) 2.4 The Philippine Statistical System (optional) 3. Sampling and Sampling Techniques 3.1 Basic Concepts 3.2 Methods of Probability Sampling 3.3 Methods of Non-probability Sampling 3.4 Sample Size Determination 4. Presentation of Data 4.1. Textual Presentation 4.2 Tabular Presentation 4.3 Graphical Presentation Santos, Kevin Carl

Stat 101 - Page 1 of 4

5. Organization of Data 5.1 Raw Data and Array 5.2 Frequency Distribution 6. Measures of Central Tendency 6.1 Summation 6.2 The Arithmetic Mean 6.3 The Median 6.4 The Mode 7. Measures of Location 7.1 The Percentiles 7.2 The Quartiles 7.3 The Deciles 8. Measures of Dispersion 8.1 The Range 8.2 The Variance and the Standard Deviation 8.3 The Coefficient of Variation 9. Measure of Skewness 9.1 Symmetry and Skewness 9.2 Common Measures of Skewness 12. Exploratory Data Analysis (EDA) 12.1 Basic Elements of EDA 12.2 Steam-and-Leaf Display 12.3 Boxplots 10. Introduction to Probability 10.1 Probabilistic Models 10.2 Basic Concepts of Probability 10.3 Approaches to Assigning Probabilities 10.4 Rules of Counting (optional) 10.5 Properties of a Probability Function 10.6 Conditional Probability 10.7 Independent Events 10.8 Random Variables and Distributions 10.9 Expected Value of a Random Variable 10.10 Normal and Binomial Distributions 11. Sampling Distributions 11.1 Basic Concepts 11.2 Central Limit Theorem 11.3 Sampling from a Normal Distribution 13. Estimation: Single Population 13.1 Basic Concept of Estimating Population Parameter 13.2 Point Estimation of a Parameter 13.3 Confidence Interval for the Mean 13.4 Confidence Interval for the Proportion 13.5 Determining the Sample Size 14. Estimation: Two Populations 14.1 Basic Concepts in Selecting Samples from Two Populations 14.2 Point Estimation of the Difference Between Two Means and of the Difference Between Two Means 14.3 Confidence Interval for the Difference of Means 14.4 Confidence Interval for the Difference of Proportions Santos, Kevin Carl

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15. Tests of Hypotheses: Single Population 15.1 Basic Concepts in Testing Statistical Hypotheses 15.2 Hypothesis Tests for the Mean 15.3 Hypothesis Tests for the Proportion 16. Tests of Hypotheses: Two Populations 16.1 Hypothesis Tests for Two Means 16.2 Hypothesis Tests for Two Proportions 17. Chi-square Test for Independence 18. Simple Linear Regression Analysis 18.1 Correlation Analysis 18.2 Simple Linear Regression Analysis 18.3 Estimation Using the Method of Least Squares 18.4 Diagnostic Checking (optional) Textbook: Elementary Statistics (2010). Almeda, Capistrano and Sarte. Other References 1. Introduction to Statistics (3rd Edition). Walpole. 2. Introduction to Statistics and Probability. Mendenhall. Course Requirements Long Exams There will be 3 long exams for this course. The coverage of the exams is as follows: First Exam Second Exam Third Exam

Coverage Sections 1-9, 12 Sections 10-11 Sections 13-18

The three (3) long exams will be scheduled outside class hours. All exams are closed notes exams. Formula sheets will be provided only when necessary. If you missed an exam for valid reasons, see me as soon as possible and present the proper certification. Make-up exams (coverage: all chapters) will be given at the end of the semester. Final Exam The coverage of the final exam will be from Sections 1 – 18. This will be a test on how well you know the methods, concepts and their properties without requiring any hardcore computations. There will be no exemptions from the final exam. This is a departmental exam. The final exam will be on October 13, 2011 (Thursday) 8-12 nn. Attendance Attendance will be checked at the end of the class. The maximum number of excuses or unexcused absences is 6. In class, you are all expected to participate and to be attentive.

Santos, Kevin Carl

Stat 101 - Page 3 of 4

Classroom Requirements 1. 4 x 6 WHITE index card Include the following in your index card: Name, Student Number, Nickname, College and Course, 1x1 Recent ID picture on the right-hand side, Contact Number, Email Address, Permanent and Present Address, Schedule for the semester at the back) Indicate if you are employed and/or graduating this semester 2. Proof that you passed the course prerequisite (e.g. TCG or authenticated CRS printout of grades) 3. Textbook – Elementary Statistics by Almeda, Capistrano and Sarte 4. Scientific Calculator Grading System 60% - 3 Long Exams 30% - Final Exam 10% - Quizzes, Assignments, etc. Grading Scale Let x be your (rounded up) final grade. 96 < x < 100 91 < x < 96 87 < x < 91 83 < x < 87 79 < x < 83

1.0 1.25 1.5 1.75 2.0

75 < x < 79 71 < x < 75 66 < x < 71 60 < x < 66 55 < x < 60 x < 55

2.25 2.5 2.75 3.0 4.0 5.0

*If you intend to drop the course, please be reminded of the deadline for dropping (September 12, 2011Monday) and provide me the instructor’s copy. Classroom Policies 1. If caught cheating in any means, a grade of 5 will be automatically given to you. This involves the act of plagiarism. 2. No special treatment or project will be given to anyone. 3. Please always bring your book and scientific calculator. Once a student does not bring at least one of them, a quiz will be given to class. 4. Put your mobile phones in silent mode. Turn off your other electronic gadgets which have nothing to do with the classroom activity. Do NOT use your mobile phones while in class.

Santos, Kevin Carl

Stat 101 - Page 4 of 4