In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. $17,15,11,7,13$ A button hyperlink to the SALT program that reads: Use SALT. $($a$)$ Use the defining formula, the computation formula, or a calculator to compute s$.($Round your answer to four decimal places.$)$ s $=($b$)$ Add $3$ to each data value to get the new data set $20,18,14,10,16.$ Compute s$.($Round your answer to four decimal places.$)$