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continued

Since the sum of (x -

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= 0, the middle term is zero:

Estimate (Sigma2) = Est {Sum [(x -

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+ (u -

IMAGE imgs/statdistribns71.gif
IMAGE imgs/statdistribns72.gif IMAGE imgs/statdistribns73.gif

N

N

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The last term is the definition of standard error, or the variance of sample means

about the population mean:

Standard error = Sum [(u -

IMAGE imgs/statdistribns74.gif

= Sigma2

IMAGE imgs/statdistribns76.gif
IMAGE imgs/statdistribns73.gif

N

N

IMAGE imgs/statdistribns04.gif

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