Continuous Probability Distribution and Testing of Hypothesis

Contents

1. Standard Continuous Probability Distributions    
1. Introduction
2. Uniform Distribution   
3. Exponential Distribution    
4. Pareto Distribution    
5. Normal Distribution    
2. Concepts and Definitions Related to Testing of Hypothesis   
1. Introduction
2. Population and Random Sample
3. Parameter and Statistic
4. Sampling Distribution of a Statistic   
5. Standard Error (S.E.) of a Statistic   
6. Statistical Hypothesis 
7. Tests of Significance  
8. Null Hypothesis and Alternative Hypothesis  
9. Errors of Sampling (Type I and II errors)   
10.Critical Region  
11.Level of Significance (L.O.S.)   
12.One Sided and Two Sided Tests    
13.Procedure for Testing of Hypothesis    
14.P-value (Descriptive Level) 
3. Parametric Tests 
1. Introduction
2. Large Sample Tests
3. Test of Significance for Single Population Mean  
4. Test of Significance for Difference of Means
5. Tests for Single Proportion 
6. Test of Significance for Difference of Proportions
7. Tests Based on Chi-Square Distribution 
8. Tests Based on t-Distribution    
9. Tests Based on F-Distribution    
4. Simulation  
1. Introduction
2. Simulation  
3. Random Number Generation    
4. Methods of Simulation  
5. Linear Congruential Generator (LCG)    
6. Simulation from Uniform, Exponential and Normal Distributions