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11-7-08 - Psychology 206 Class Notes Went from Z-scores to...

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Psychology 206 – Class Notes – 11/7/08 Went from Z-scores to correlation …going back to Z scores to hypothesis testing Standard Normal Curve Mean is 0 Std. dev. Is 1 Area under the curve – proportion of scores Area under the curve (100) = percent of scores Area under the curve = probability of a single score A puzzle IQ is normally distributed with µ=100 and (pop. Std. dev. = 16) A class of N=28 children take an IQ test and obtain a M=106.3 Evidence of “foul play”? (Is this sample beyond the acceptable range?) Did the sample come from the general population? In other words, how likely is it that a sample of N=28 scores would have a mean of 106.3 when the µ=100 and (pop. Std. dev = 16)? Is this sample Likely to be part of the general population? Or, Is it unlikely to be part of the general population? Is there evidence of foul play?
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WE HAVE A FORMAL WAY TO DECIDE! This formal method is a Z-test o We use the Z test when we have: 1 sample and therefore 1 sample mean
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