- Belleview High School
- AICE Mathematics II with Statistics II
- Unit 13 - Sampling and Estimation
LOSITO, MICHAEL
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AICE Mathematics I with Statistics I
- Unit 1 - Quadratics
- Unit 2 - Functions and Graphs
- Unit 3 - Coordinate Geometry
- Unit 4 - Trigonometry
- Unit 5 - Sequences and Series
- Unit 6 - Differentiation
- Unit 7 - Integration
- Unit 8 - Representation, Location and Spread
- Unit 9 - Probability
- Unit 10 - Distributions
- Unit 11 - The Normal Distribution
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AICE Mathematics II with Statistics II
- Unit 1 - Algebra
- Unit 2 - Exponential and Logarithmic Functions
- Unit 3 - Trigonometry
- Unit 4 - Numerical Solutions
- Unit 5 - Differentiation
- Unit 6 - Vectors
- Unit 6 - Vectors
- Unit 7 - Binomial Expansion and Rational Functions
- Unit 8 - Complex Numbers
- Unit 9 - Integration & Differential Equations
- Unit 10 - The Poisson Distribution
- Unit 11 - Linear Combinations of Random Variables
- Unit 12 - Continuous Random Variables
- Unit 13 - Sampling and Estimation
- Unit 14 - Hypothesis Testing
- Pre AICE Mathematics 3 (IGCSE)
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Chapter 4 – Sampling
When students have completed this lesson they should be able to:
- Understand the distinction between a sample and a population
- Understand how to select a random sample from a population
- Appreciate the benefits of choosing a random sample
- Recognize that a sample mean can be a random variable and use the facts that E(x\bar) = μ and that Var(x\bar) = σ^2/n
- Use the fact that x\bar has a normal distribution if X has a normal distribution
- Understand the meaning of the central limit theorem and be able to use it in calculations
Chapter 5 – Estimation
When students have completed this lesson they should be able to:
- Understand the term ‘unbiased” with reference to an estimator of the mean or variance of a sample and be able to calculate unbiased estimates of the population mean and variance form of a sample
- Determine a confidence interval for a population mean in the case when the population is normally distributed or where a large sample is used
- Determine, from a large sample, an approximation confidence interval for a population proportion