Use the data in the first column of Table 11.5 on page 699. These data give the boiling points of water at 17 different locations from Forbes’ experiment. Let F be the distribution from which these boiling points were drawn. We might not be willing to make many assumptions about F. Suppose that we are interested in the bias of the sample median as an estimator of the median of the distribution F. Use the nonparametric bootstrap to estimate this bias. First, do a pilot run to compute the simulation standard error of the simulation approximation, and then see how many bootstrap samples you need in order for your bias estimate (for distribution ˆ F) to be within 0.02 of the true bias (for distribution ˆ F) with probability at least 0.9.