Materi

2361PROBLEMS IN THE EQUATION OF CHANGE [.pdf] [309.7 KB]
Materi Kuliah Fakultas Teknik Kimia : PROBLEMS IN THE EQUATION OF CHANGE
PROBLEMS IN THE EQUATION OF CHANGE Problem 3.1 Use the Navier-Stokes equations for constant density to obtain the differential equations for velocity distribution: (a) for the flow of an isothermal film, as in ? 2.2, (b) for two phase flow in a horizontal slit, as in ? 2.5 (Adjacent flow of Two Immiscible Fluid), (c) for axial flow in an annulus with a moving boundary as in Problem 2.J Answer: Using Navier-Stokes equations: Dv = -p - ? 2v + g Dt ( ) a) For the flow of an isothermal film Constrai
2362PROBLEMS IN THE EQUATION OF CHANGE [.pdf] [309.7 KB]
Materi Kuliah Fakultas Teknik Kimia : PROBLEMS IN THE EQUATION OF CHANGE
PROBLEMS IN THE EQUATION OF CHANGE Problem 3.1 Use the Navier-Stokes equations for constant density to obtain the differential equations for velocity distribution: (a) for the flow of an isothermal film, as in ? 2.2, (b) for two phase flow in a horizontal slit, as in ? 2.5 (Adjacent flow of Two Immiscible Fluid), (c) for axial flow in an annulus with a moving boundary as in Problem 2.J Answer: Using Navier-Stokes equations: Dv = -p - ? 2v + g Dt ( ) a) For the flow of an isothermal film Constrai
2363STATISTICS Simple Linear Regression & Correlation [.pdf] [69.3 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Simple Linear Regression & Correlation
STATISTICS Simple Linear Regression & Correlation Ir. Mahmud Sudibandriyo MSc., PhD November 29, 2008 1 Topics Concepts Analysis of Simple Linear Regression Relation Test and Prediction Interval Analysis of Simple Linear Correlation November 29, 2008 2 Concepts Regression & correlation is used for forecasting/estimation Need a relation between forecasted variable (dependent variable or response variable, usually plotted as a y axis) and known variable (independent variable or explanatory variable
2364STATISTICS Hypothesis Test for Multiple Sample [.pdf] [149.9 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Hypothesis Test for Multiple Sample
STATISTICS Hypothesis Test for Multiple Sample Ir. Mahmud Sudibandriyo MSc., PhD November 20, 2008 1 Topics Hypothesis Test of Variance with Multiple Sample Hypothesis Test of Means with Multiple Sample Hypothesis Test of Percentage with Multiple Sample November 20, 2008 2 Hypothesis Test of Variance with Multiple Sample Objective: Use data from two samples obtained from two population to statistically determine whether the parameters in both population is significantly different. Required: - Sam
2365STATISTICS Hypothesis Test for Single Sample [.pdf] [128.2 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Hypothesis Test for Single Sample
STATISTICS Hypothesis Test for Single Sample Ir. Mahmud Sudibandriyo MSc., PhD November 17, 2008 1 Topics General Procedure for Hypothesis Test Hypothesis Test for Means of Single Sample Hypothesis Test for Percentage of Single Sample Hypothesis Test for Variance of Single Sample P Value on Hypothesis Test November 17, 2008 2 General Procedure for Hypothesis Test Statistic Hypothesis is a statement of assumption concerning probability distribution of population. We need to prove whether that assu
2366STATISTICS Estimation [.pdf] [70.4 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Estimation
STATISTICS Estimation Ir. Mahmud Sudibandriyo MSc., PhD November 10, 2008 1 Topics Estimation of Population Mean Estimation of Population Proportion Estimation of Population Variance Determination of Sample Size November 10, 2008 2 Estimation of Population Mean For known standard deviation of population and sample size is more than 30 (n>30): -For unlimited members of population: x = x n x n N -n N -1 x - z x < ? x < x + z x where x = mean of the sample -For limited to N members of population:
2367STATISTICS Theoretical Distribution Of Continuous Random Variable [.pdf] [318.3 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Theoretical Distribution Of Continuous Random Variable
STATISTICS Theoretical Distribution Of Continuous Random Variable Ir. Mahmud Sudibandriyo MSc., PhD October 16, 2008 1 Topics Normal (Gaussian) Distribution Gamma Distribution Chi-Square Distribution Exponential Distribution Weibull Distribution Lognormal Distribution October 16, 2008 2 Normal Distribution Most popular distribution. Most natural phenomena can be represented using normal distribution. Pr obability Density Function f N ( x; ? x , x ) = 1 - ( x-? x )2 2 ( 2 x ) x 2 e - < x < C
2368STATISTICS Theoretical Distribution Of Discrete Random Variable [.pdf] [103.3 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Theoretical Distribution Of Discrete Random Variable
STATISTICS Theoretical Distribution Of Discrete Random Variable Ir. Mahmud Sudibandriyo MSc., PhD October 11, 2008 1 Topics Bernoulli Distribution Binomial Distribution Negative Binomial Distribution Geometric Distribution Hyper-geometric Distribution Poisson Distribution October 11, 2008 2 Bernoulli Distribution A theoretical distribution to model a studied population. Based on Bernoulli trial: outcomes are succeed or fail probability of succeed is p and fail is q = 1 ? p Bernoulli probability di
2369STATISTICS Probability Distribution [.pdf] [53.7 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Probability Distribution
STATISTICS Probability Distribution Ir. Mahmud Sudibandriyo MSc., PhD October 10, 2008 1 Topics Random Variable Discrete Probability Distribution Continuous Probability Distribution Probability Distribution with Parameter Expectation Value (Mathematic Expectation) October 10, 2008 2 Random Variable Symbol: X. is variable which has a single numerical value from the outcome of probability experiment. Can be discrete or continuous. October 10, 2008 3 Discrete Probability Distribution If X is dis
2370STATISTICS Basic Concept of Probability [.pdf] [130.3 KB]
Materi Kuliah Fakultas Teknik Kimia : STATISTICS Basic Concept of Probability
STATISTICS Basic Concept of Probability Ir. Mahmud Sudibandriyo MSc., PhD September 24, 2008 1 Topics Concepts and Definitions Compound Event Probabilities Enumeration Technique September 24, 2008 2 Concepts and Definitions Probability Experiment: activities where an outcome, response, or measurement is obtained. Sample space (S): A set of values which covers all possibility of outcome, response, or measurement. Event : A subset of all outcome, response, or measurement in the sample space. Exampl
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