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Lecture07

# Lecture07 - Lecture 7 How certain are we Sampling and the...

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Chapter 11 – 1 Lecture 7 How certain are we? Sampling and the normal distribution

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Chapter 11 – 2 Lecture 6: Summary If we take a simple random sample from a well-defined population we expect that the sample mean is “probably” “close” to the population mean By “close” we mean “within ~ 2 standard errors Lecture 7: Preview Today, we’ll learn that “probably” means in 95% of all samples
Chapter 11 – 3 Overview Review of sampling distributions Sampling distributions have a “normal” shape Properties of the “normal” distribution, e.g.: In 95% of all samples, the sample mean is within 1.96 standard errors of the population mean

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Chapter 11 – 4 Repeated sampling Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Each Y represents the number of children in a household Population: All US households Y Y Y Y All possible samples 25 . 1 = Y N =4 50 . 2 = Y N =4 μ Y =1.75
Chapter 11 – 5 Notation Mnemonics : P opulation measures are called P arameters. S ample measures are called S tatistics.

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Lecture07 - Lecture 7 How certain are we Sampling and the...

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