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Final

Week 7 Study Notes

4 Pages
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Department
Geography
Course Code
GGR270H1
Professor
Damian Dupuy

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GGR 270 Lecture 7 October 27, 2010
Central Limit Theorem II
The frequency of sample means will be normally distributed
When the sample size is large, the sample mean is likely to be quite close to the
population mean
A large sample is more likely to be closer to the true population mean than a smaller
sample
Variability
Standard deviation of the sampling distribution is equal to the sample standard
deviation divided by the square root of the sample size
This is called the standard error of the mean
oIndicates how much a typical sample mean is likely to differ from the true
population mean
oMeasures the amount of sampling error
oThe larger the sample size (n), the smaller the amount of sampling error
How large is large
If sampled population is normal, then sampling distribution of means will also be
normal, no matter what the sample size
If the sampled population is approximately normal, then the sampling distribution of
means will be approximately normal for relatively small sample sizes
When the population is skewed, the sample size must be large (n>30) before the
sampling distribution will become normal
Sample Estimation
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Description
GGR 270 Lecture 7 October 27, 2010 Central Limit Theorem II The frequency of sample means will be normally distributed When the sample size is large, the sample mean is likely to be quite close to the population mean A large sample is more likely to be closer to the true population mean than a smaller sample Variability Standard deviation of the sampling distribution is equal to the sample standard deviation divided by the square root of the sample size This is called the standard error of the mean o Indicates how much a typical sample mean is likely to differ from the true population mean o Measures the amount of sampling error o The larger the sample size (n), the smaller the amount of sampling error How large is large If sampled population is normal, then sampling distribution of means will also be normal, no matter what the sample size If the sampled population is approximately normal, then the sampling distribution of means will be approximately normal for relatively small sample sizes When the population is skewed, the sample size must be large (n>30) before the sampling distribution will become normal Sample Estimation www.notesolution.com
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