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in this tutorial Im going to talk about deriving a formula for calculating the sample size of a population mean theres two common equations you use when you calculate a sample size and in this video Im talking about this equation in the top equation and you can find links to the other equation below Ill put links to how to make the actual calculation for sample size below but in this video I want to tell you where the equation comes from the sample size is derived from the equation used for a confidence interval if we recall this part of the equation is called the margin of error which is capital e so E is equal to the margin of error right there now Im going to solve for n to do that I multiply both sides of the equation by the square root of n like that the square root of ends on the right hand side cancel out I am left with square root of n times e on the left hand side and this is equal to the z-score times the standard deviation multiply both sides of the equation by 1 over
