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STA450H1
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Lecture

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University of Toronto St. George

Statistical Sciences

STA450H1

Mower

Winter

Description

STATSCHAPTER 7 Sampling Error the discrepancy or amount of error between a sample statistic and its corresponding population parameter Problem with samplesAre variableNot 100 representative of the population The Distribution of Sample Means is the collection of sample means for all the possible random samples of a particular size n that can be obtained from a population Sampling Distribution a distribution of statistics obtained by selecting all the possible samples of a specific size from a populationTo Construct a Distribution of Sample Means 1 Select a sample of size n and calculate meancontinue to do this until you have selected all the possible samples from the population Characteristics a Sample means should pile up around the population mean are suppose to be representative of the population mean b The pile of sample means should tend to form a normal shaped distributionmost of the sample means should come close to the population meanc The larger the sample size the closer the sample means should be to the Central Limit Theorem for any p

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