Apply the scientific method to develop and validate a hypothesis about the order of growth...

Apply the scientific method to develop and validate a hypothesis about the order of growth of the running time of each of the following two code fragments as a function of n.

String s = "";for (int i = 0; i < n; i ++)  if (StdRandom.bernoulli(0.5)) s += "0";  else             s += "1";StringBuilder sb = new StringBuilder() ;for (int i = 0; i < n; i++)  if (StdRandom.bernoulli(0.5)) sb.append("0");  else             sb.append("1");String s = sb.toString();