Take a Look at the Formulas for Calculating the Standard

Essay

Take a look at the formulas for calculating the standard error of the mean in Chapter 6. Explain why it makes sense to have the standard deviation in the numerator and the sample size in the denominator. (When I say "makes sense" I mean both mathematically and conceptually. In other words, why does it make sense that as the standard deviation increases the standard error also increases? And why does it make sense that as the sample size increases the standard error decreases?)