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Using probability theory to make an inference
The sample mean \(\bar{X}\) as a point estimate of
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The sample mean as a random variable
The mean and variance of \(\bar{X}\)
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Sampling from asymmetric distributions
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Standardising the sample mean
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Inference for means
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Motivation and knowledge
Probability and statistics: Module 25
Inference for means
Motivation and knowledge
Content - Using probability theory to make an inference
Content - The sample mean \(\bar{X}\) as a point estimate of
μ
Content - The sample mean as a random variable
Content - The mean and variance of \(\bar{X}\)
Content - Sampling from symmetric distributions
Content - Sampling from asymmetric distributions
Content - The central limit theorem
Content - Standardising the sample mean
Content - Population parameters and sample estimates
Content - Confidence intervals
Content - Calculating confidence intervals
Answers to exercises
