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in this slideshow Im going to talk about sample sizes and always always an equation to use so in this case the equation is n is equal to which is our sample size 1.96 squared which is a 95% confidence times the standard deviation squared which is Sigma squared there times the error rate squared which is represented by capital e so Im going to do two problems in this case Im going to do them side by side the first one Im going to do were going to assume the standard deviation is 20 and the error rate is 4 and the second problem were going to do is the standard deviation 25 and the error rate is 4 this will give you an opportunity to see how much a small change in the standard deviation impacts sample size we start plugging and chugging and multiplying so in this case 1.96 squared is equal to three point eight four which is equal to three point eight four times four hundred divided by 16 400 divided by 16 is 25 so we have three point eight four times 25 which is equal to 96 and th