Specialist Mathematics Β· Unit 4 Β· Statistical inference Β· Sample means
Use repeated random sampling data from a variety of distributions and a range of sample sizes to examine properties of the distribution of π across samples of a fixed size π, including its mean π, its standard deviation π βπ (where π and π are the mean and standard deviation of π) and its approximate normality if π is large.
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Understand the concept of the sample mean π as a random variable whose value varies between samples where π is a random variable with mean π and the standard deviation π.
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Use repeated random sampling data from a variety of distributions and a range of sample sizes to examine the approximate standard normality of πβπ π βπ for large samples (π β₯ 30), where π is the sample standard deviation (Central limit theorem).