Course curriculum
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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
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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
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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
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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
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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 (z-Tests)
- z-Tests – Type I and Type II errors
- Two Tailed Tests (z-Tests)
- Worksheet 1
- Worksheet 2
- Worksheet 3
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