Perform the test in problem S$2$ using a bootstrap analysis. $($a$)$ Would we want to use a one$-$sample or two$-$sample bootstrap test? Explain your choice. $($b$)$ The code below runs the bootstrap procedure on the differences between the shoot and root data. However, there are some problems with the code. $$ The code only runs the bootstrap procedure $50$ times, which is not enough to make an accurate approximation of the null distribution. $$ The code takes a resample without replacement. Fix the code so that the bootstrap procedure runs $5000$ times and samples with replacement.