Course curriculum

1
Poisson Distribution
 Introduction
 Interval Changes
 Normal Approximation to the Poisson Distribution
 Worked Example 1
 Poisson Approximation to the Binomial Distribution
 Worked Example 2
 Worksheet 1
 Worksheet 2

2
Linear Combinations of Random Variables
 Introduction
 Worked Example 1
 Worked Example 2
 Sum of repeated observations
 Linear Combinations of Poisson Variables
 Worked Example 3
 Linear Combinations of Normal variables
 Worked Example 4
 Normal Repeated Observations
 Worked Example 5
 Worksheet 1
 Worksheet 2

3
Continuous Random Variables
 Introduction
 Finding Expectation
 Worked Example 1
 Worked Example 2
 Worked Example 3
 Worked Example 4
 Finding Variance
 Worked Example 5
 Finding the Median
 Worked Example 6
 Worked Example 8
 Worked Example 7
 Worksheet 1
 Worksheet 2

4
Sampling and Estimation
 Sampling  Introduction
 Worked Examples 1
 Unbiased Estimates
 Worked Examples 2
 Distribution of Means
 The Central Limit Theorem
 Worked Examples 3
 Confidence Intervals
 Worked Examples 4
 Worked Examples 5
 Worked Examples 6
 Worked Examples 7
 Width of an Interval
 Confidence Interval for Population Proportion
 Worked Examples 8
 Worksheet 1
 Worksheet 2
 Worksheet 3

5
Hypothesis Testing
 Introduction to Hypothesis Testing
 Hypothesis Tests with the Binomial Distribution
 Worked Example 1
 Worked Example 2
 Hypothesis Tests with the Poisson Distribution
 Hypothesis Tests Involving the Normal Approximation to the Binomial Distribution
 Worked Example 3
 Hypothesis Tests Involving the Normal Approximation to the Poisson Distribution
 Type I & Type II Errors – Introduction
 Calculating the Type I Error
 Worked Example 4
 Calculating the Type II error
 Testing for the mean of a population (zTests)
 zTests – Type I and Type II errors
 Two Tailed Tests (zTests)
 Worksheet 1
 Worksheet 2
 Worksheet 3
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