4. Look at the formulas for standard deviation and for

Last updated: 7/9/2022

4. Look at the formulas for standard deviation and for standard error. (a) Explain, in words, the difference between the standard deviation and the standard error. (b) You have three data sets with the same standard deviation, S=3.298. Data Set I has ten observations in it (n=10), Data Set 2 has twenty (n=20), and Data Set 3 has fifty observations in it (n=50). For each of these calculate the standard error. Data Set 1: Data Set 2: Data Set 3: (c) Explain how the standard error changes when the sample size changes (but the standard deviation stays the same). Then, explain how the formula for the standard error justifies this change