Walter Maths Academy

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Introduction

Interval Changes

Normal Approximation to the Poisson Distribution

Worked Example 1

Worked Example 2

Poisson Approximation to the Binomial Distribution

Worksheet 1

Worksheet 2

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

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

Sampling - Introduction

Sampling - Worked Examples

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

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