Statistics and Probabilities
This course provides students with the tools to apply statistical analysis and probability theory to chemical engineering problems. Topics include hypothesis testing, regression analysis, and probability distributions. Students will develop the ability to use data-driven techniques for process optimization and quality control.
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- The Application of Statistics in Engineering
- Engineering Data Collection
- Mechanistic and Empirical Data Models
- Probability and Probability Models
- Population, Sample, and Random Variables
- Central Tendency Measurement (Mean, Median, Mode)
- Variability Measurement (Range, Standard Deviation, Variance, Interquartile Range)
- Frequency Histogram
- Pareto Diagram
- Dot, Stem & Leaf, and Scatter Plot
- Box and Whisker Plot
- Discrete and Continuous Variable
- Sample Space and Events
- Interpretation and Calculation of Probability
- Multiplication and Total Probability Rules
- Normal Distribution
- Confidence Level, Significance Level, and Degrees of Freedom
- Probability Calculation using Z and T-Distribution Table
- Sampling Distribution and Central Limit Theorem
- General Concept of Point Estimation
- Methods of Point Estimation
- Confidence Interval
- Hypothesis Testing for Mean and Variance
- Z-test and T-test
- Chi-square Test
- Case Study for One-Sample Inferential Statistics
- Paired Sample Z-test
- Paired Sample T-test
- F-test
- Case Study for Two-Sample Inferential Statistics
References:
- Montgomery, D.C. & Runger, G.C, Applied Statistics & Probability for Engineers, 3, John Wiley & Sons,New York, 2003
- Triola, M.F, Elementary Statistics, 11, Addison Wesley, 2012