ENM240 Probability And Statistics II

5 ECTS - 3-0 Duration (T+A)- 4. Semester- 3 National Credit

Information

Code ENM240
Name Probability And Statistics II
Term 2022-2023 Academic Year
Semester 4. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. RIZVAN EROL
Course Instructor Prof. Dr. RIZVAN EROL (A Group) (Ins. in Charge)


Course Goal / Objective

To compass some of the discrete and continuous distributions,to do sampling distributions and to estimate interval and to test hypothesis,

Course Content

Discrete random variables, Continuous random variables, Sampling distributions and estimation, Confidence intervals

Course Precondition

None

Resources

MONTGOMERY, D. C. & RUNGER, G. C., 2018, Applied Statistics and Probability for Engineers (7th edition), John Wiley& Sons, Inc.

Notes

STEPHENS, L. J. SPİEGEL, M. J., 2013, İstatistik/Statistics - Schaum's Serisi, Çelebioğlu, S.(çeviri editörü)


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Learn some of the discrete and continous distributions
LO02 Understand the sampling distributions and their properties
LO03 Do the point and interval estimate
LO04 Do the hypothesis testing


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. 5
PLO02 Bilgi - Kuramsal, Olgusal Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. 4
PLO03 Bilgi - Kuramsal, Olgusal Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose.
PLO04 Bilgi - Kuramsal, Olgusal Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. 5
PLO05 Bilgi - Kuramsal, Olgusal Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. 5
PLO06 Bilgi - Kuramsal, Olgusal Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually.
PLO07 Beceriler - Bilişsel, Uygulamalı Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
PLO08 Beceriler - Bilişsel, Uygulamalı Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves.
PLO09 Yetkinlikler - Öğrenme Yetkinliği Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility.
PLO10 Yetkinlikler - Öğrenme Yetkinliği Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions.
PLO12 Yetkinlikler - Öğrenme Yetkinliği They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money.
PLO14 Yetkinlikler - Öğrenme Yetkinliği Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues.


Week Plan

Week Topic Preparation Methods
1 Bernouli, binomial and multinomial distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
2 Geometric, Negative binomial and Hypergeometric distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
3 Poisson and discrete uniform distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
4 Normal distribution, standart normal distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
5 Normal approximation to binomial distribution, Continuos uniform and gamma distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
6 Sampling distribution, Point estimation, Confidence interval on the population mean of normal distribution with a known variance Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
7 Chebyshev inequality, chi-square and F distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
8 Mid-Term Exam Source reading Ölçme Yöntemleri:
Yazılı Sınav
9 Confidence interval on the mean of a population with normal distribution with unknown variance, Confidence interval on the variance of a population Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
10 Confidence interval on the difference in means of two populations with normal distribution, Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
11 Confidence interval on the ratio of variances of two normal distribution, Confidence interval on p, Confidence interval onthe difference of binomial parameters Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
12 Hypothesis test on the mean of a normal distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
13 Hypothesis test on the variance of a normal distribution Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
14 Hypothesis test on the equivalence of variance of two normal distribution, Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
15 Hypothesis test on the binomial parameter and the difference of two binomial parameters Source reading Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
16 Term Exams Source reading Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Source reading Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 14.11.2022 10:25