Chapters 8 & 12 -- Sampling Distributions

# Chapters 8 &amp; 12 -- Sampling Distributions - Chapter 8...

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Means We’ve been examining Z-scores & the probability of obtaining individual scores within a normal distribution But inferential statistics involve samples of more than 1 To transition into inferential statistics, it is important that we understand how probability relates to sample means , not just individual scores Inferential statistics: sample infer something about population Often not possible to measure everyone in a population Samples are convenient representations of them Chapters 8 & 12: Page 1

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If you take multiple samples of the same size from a population, they are likely to give different results Samples vary! Quite likely that a particular sample won’t reflect the population exactly The term “sampling error” does not mean a sampling mistake – rather it indicates that means drawn from multiple samples taken from a population will vary from each other due to random chance and therefore may deviate from the population mean Chapters 8 & 12: Page 2
What is a distribution of Sample Means (Sampling Distribution of the Mean)? A distribution of sample means ( X ); a “distribution of a statistic [in this case a sample mean] over repeated sampling from a specified population” Based on all

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## This note was uploaded on 04/25/2010 for the course MATH 30 taught by Professor Karaali during the Spring '08 term at Pomona College.

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Chapters 8 &amp; 12 -- Sampling Distributions - Chapter 8...

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