# Probability and Statistics II (MATH292) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Probability and Statistics II MATH292 3 0 0 3 5
Pre-requisite Course(s)
MATH291 Introduction to Probability and Statistics-I
Course Language English N/A Bachelor’s Degree (First Cycle) Face To Face Lecture, Question and Answer, Problem Solving. By providing basic knowledge on the some inferential statistics topics such as sampling and sampling distributions, point and interval estimations, hypothesis testing, simple linear regression and analysis of variance, to enable the students to get objective decision within uncertain environments The students who succeeded in this course; Upon completing the course, students are expected to; 1) have knowledge on the sampling and special sampling distributions, 2) be able to estimate the unknown population parameters by point and , 3) interval estimation techniques, 4) be able to test the hypothesis based on population parameters, 5) be able to use the goodness of fitting and independency tests on the data structure, 6) be able to apply simple linear regression and correlation analysis, 7) be able to use one way analysis of variance Sampling and sampling distributions, Central Limit Theorem, point estimation, confidence interval, hypothesis testing, regression and correlation, variance analysis.

### Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Sampling Concept, Parameter and Statistics, Sampling Distributions pp. 207-210
2 Central Limit Theorem pp.211-220
3 Applications on the Sampling Distribution of Sample Mean and Sample Proportion pp. 225-230
4 The Concept of Point and Interval Estimation, Unbiased and Consistent Estimators pp. 240-242
5 Confidence Intervals for Population Mean and Population Proportion pp. 246-250
6 Confidence Interval for Population Standard Deviation pp.276-280
7 Midterm Exam
8 The Concept of Hypothesis Testing, Simple and Composite Hypothesis,,α, β Errors, Significance Level pp.298-308
9 Hypotheses on Population Mean and Population Proportion pp.315-317,337-338
10 Hypothesis on Population Variance pp. 346-347
11 Hypothesis Based on The Difference Between Two Population Parameters pp. 361-365
12 Goodness of Fitting Test and Independency Test pp. 482-488
13 Relationship between two variables, Meaning of Covariance, Perason Correlation Coefficient and its Significance test pp. 521- 525
14 Simple Linear Regression Model, Least Squared Method, Analysis of Regression Model, Determination Coefficient pp. 531-535
15 Analysis of Variance and Overview of The Course pp. 441-445

### Sources

Course Book 1. D.H. Sanders, R. K. Simidt, Statistics, A First Course, 1990 Other Sources 2. Elementary Statistics, A step by step Approach, Bluman, 2001

### Evaluation System

Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 2 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 5 100
 Percentage of Semester Work 60 40 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Acquiring the skills of understanding, explaining, and using the fundamental concepts and methods of economics
2 Acquiring the skills of macro level economic analysis
3 Acquiring the skills of micro level economic analysis
4 Understanding the formulation and implementation of economic policies at the local, national, regional, and/or global level
5 Learning different approaches on economic and related issues
6 Acquiring the quantitative and/or qualitative techniques in economic analysis
7 Improving the ability to use the modern software, hardware and/or technological devices
8 Developing intra-disciplinary and inter-disciplinary team work skills
9 Acquiring an open-minded behavior through encouraging critical analysis, discussions, and/or life-long learning
10 Adopting work ethic and social responsibility
11 Developing the skills of communication.
12 Improving the ability to effectively implement the knowledge and skills in at least one of the following areas: economic policy, public policy, international economic relations, industrial relations, monetary and financial affairs.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 10 20
Prepration of Final Exams/Final Jury 1 15 15