# How to explain the influences on z-scores

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How to explain the influences on z-scores with constant variables in hypothesis tests with

(1) increasing differences between the sample mean and the original population mean,

(2) increasing the population standard deviation, and

(3) increasing the number of scores in the sample?

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##### Solution Summary

This solution explains how z-scores are calculated and the affect that a series of changes in variables will have on z-scores.

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In hypothesis testing, z- score is calculated as

z = (Sample mean - Population mean)/(population standard ...

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