4. [20 pts] Many years ago, Aero 305 used sheet metal samples for the lab exam. We have a 14-element vector of mass measurements m for one of these samples: {8.37,8.3757, 8.3774, 8.3774, 8.3775, 8.3778, 8.3778, 8.3778, 8.3779, 8.378, 8.378, 8.378, 8.3791, 8.38} g (a) [5 pts] What is the median value and interquartile range (IQR) of this set of observations? Note that m is already sorted, smallest-to-largest. (b) [5 pts] Which data points would be plotted as outliers in a box-and-whisker plot? Are they mild outliers, or extreme outliers? (c) [5 pts] Which data points would we reject if we use Chauvenet's criterion? Note that dmax/o = 2.10 for n = 14. (d) [5 pts] Use Student's t-distribution to calculate the 95 percent confidence level for a data set that excludes the data points rejected by Chauvenet's criterion.