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A standardized visual working memory test has a population mean (μ) of 15 and a standard deviation (σ) of 8. Because the scores are normally distributed, the whole distribution of scores can be converted into a Z distribution. Each raw score in the original distribution has a corresponding Z score in the Z distribution. The Z distribution has symmetrical bell shape with known properties, so it’s possible to mathematically figure out the percentage of scores within any specified area in the distribution. – John’s Z score= (X-M)/SD = (13-15)/8= -0.25 What is the percentage of students that score lower than John?

A standardized visual working memory test has a population mean (μ) of 15 and a standard deviation (σ) of 8.

Because the scores are normally distributed, the whole distribution of scores can be converted into a Z distribution. Each raw score in the original distribution has a corresponding Z score in the Z distribution. The Z distribution has symmetrical bell shape with known properties, so it’s possible to mathematically figure out the percentage of scores within any specified area in the distribution.  

– John’s Z score= (X-M)/SD = (13-15)/8= -0.25

What is the percentage of students that score lower than John?

 
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