A-LEVEL A2 STATISTICS 2 : STUDY MANUAL

Chapter 1:

The Poisson Distribution

1.1 The Poisson Distribution 

1.2 Mean and Variance of a Poisson Distribution

1.3 The Poisson Distribution as an Approximation to the Binomial Distribution

1.4 The Normal Distribution as an Approximation to the Poisson Distribution

Chapter 2:

Linear Combinations of Random Variables

2.1 Linear Combinations of Random Variables

2.2 Linear Combinations of Multiple Observations of a Random Variable

2.3 Linear Combinations of Normally Distributed Random Variables

2.4 The Distribution of The Sum of Poisson Variables

Chapter 3:

Continuous Random Variables

3.1 Probability Density Functions

3.2 Median, Expectation Value, and Variance of a Continuous Random Variable

Chapter 4:

Sampling

4.1 Sampling

4.2 The Sample Mean and its Distribution

4.3 The Central Limit Theorem

4.4 Estimation of Population Mean and Variance

4.5 Confidence Intervals

4.6 Confidence Intervals for Population Proportion

Chapter 5:

Hypothesis Testing

5.1 The Null and Alternative Hypothesis

5.2 Critical Values and the Rejection Region

5.3 Discrete Variable Tests

5.4 Error Testing