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Course Description |
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Course Name |
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Probability And Statistics II |
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Course Code |
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ENM220 |
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Course Type |
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Compulsory |
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Level of Course |
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First Cycle |
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Year of Study |
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2 |
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Course Semester |
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Spring (16 Weeks) |
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ECTS |
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5 |
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Name of Lecturer(s) |
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Assoc.Prof.Dr. MAHMUDE REVAN ÖZKALE |
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Learning Outcomes of the Course |
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Learn some of the continous distributions Understand the sampling distributions and their properties Do sampling distribution and point estimate Estimate confidence Test hypothesis Do chi-square tests and goodness of fit tests Have prior knowledge about regresssion and correlation analysis
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Mode of Delivery |
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Face-to-Face |
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Prerequisites and Co-Prerequisites |
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None |
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Recommended Optional Programme Components |
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None |
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Aim(s) of Course |
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To compass some of the continuous distributions, to do sampling distributions, to estimate interval, to test hypothesis, to apply chi-square tests and to have prior knowledge about regression and correlation |
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Course Contents |
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Normal distribution, hypothesis testing, confidence intervals, goodness of fit test, chi-square tests |
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Language of Instruction |
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Turkish |
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Work Place |
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Industrial Engineering Classrooms |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Normal distribution, standart normal distribution |
Source reading |
Lecture, problem solving |
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2 |
Normal approximation to Binomial distribution, continuos uniform and Gamma distribution |
Source reading |
Lecture, problem solving |
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3 |
Sampling Distribution, Point estimation, Confidence interval on the mean of a normal distribution, variance known |
Source reading |
Lecture, problem solving |
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4 |
Chebyshev inequality and sample size, chi-square and F distribution |
Source reading |
Lecture, problem solving |
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5 |
Confidence interval on the mean of a normal distribution, variance unknown, Confidence interval on the variance |
Source reading |
Lecture, problem solving |
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6 |
Confidence interval on the difference in means of two normal distribution, |
Source reading |
Lecture, problem solving |
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7 |
Confidence interval on the ratio of variances of two normal distribution, Confidence interval on p, Confidence interval onthe difference of binomial parameters |
Source reading |
Lecture, problem solving |
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8 |
Midterm exam |
Review the topics discussed in the lecture notes and sources |
Written exam |
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9 |
Hypothesis test on the mean of a normal distribution |
Source reading |
Lecture, problem solving |
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10 |
Hypothesis test on the variance of a normal distribution |
Source reading |
Lecture, problem solving |
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11 |
Hypothesis test on the equivalence of variance of two normal distribution, Hypothesis test on the binomial parameter and the difference of two binomial parameters |
Source reading |
Lecture, problem solving |
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12 |
Goodness of fit tests |
Source reading |
Lecture, problem solving |
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13 |
Independence Tests |
Source reading |
Lecture, problem solving |
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14 |
Independence Tests |
Source reading |
Lecture, problem solving |
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15 |
Regression and correlation analysis |
Source reading |
Lecture, problem solving |
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16/17 |
Final exam |
Review the topics discussed in the lecture notes and sources |
Written Exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
1. Akdeniz,F. (2010). Olasılık ve İstatistik , Nobel Kitabevi
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| Required Course Material(s) |
1. Montgomery, D. C., Runger, G. C. (2002). Applied Statistics and Probability for Engineers. John Wiley and Sons
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
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60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. |
5 |
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2 |
Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. |
5 |
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3 |
Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. |
5 |
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4 |
Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . |
0 |
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5 |
Gains ability to choose and apply methods and tools for industrial engineering applications. |
0 |
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6 |
Can access information and to search/use databases and other sources for information gathering. |
2 |
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7 |
Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. |
0 |
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8 |
Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. |
0 |
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9 |
Can use computer software in industrial engineering along with information and communication technologies. |
0 |
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10 |
Can use oral and written communication efficiently. |
1 |
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11 |
Has a conscious understanding of professional and ethical responsibilities. |
1 |
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12 |
Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. |
0 |
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13 |
Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. |
0 |
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14 |
Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
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Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
4 |
56 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
15 |
15 |
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Total Workload: | 137 |
| Total Workload / 25 (h): | 5.48 |
| ECTS Credit: | 5 |
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