Consider two $\stackrel{}{x}$ distributions corresponding to the same $x$ distribution. The first $\stackrel{}{x}$ distribution is based on samples of size $n=100$ and the second is based on samples of size $n=225.$ Which $\stackrel{}{x}$ distribution has the smaller standard error? The distribution with $n=100$ will have a smaller standard error. The distribution with $n=225$ will have a smaller standard error. Explain your answer. a$)$ since ${}_{\stackrel{}{x}}=\frac{}{\sqrt[\phantom{2}]{n}},$ dividing by the square root of $100$ will result in a small standard error regardless of the value of $$