The rolling machine of a steel manufacturer produces sheets of steel of varying thickness. The thickness of a steel sheet follows a uniform distribution with values between 150 and 200 millimeters. Suppose we perform the following experiment over and over again: Randomly sample 11 steel sheets from the production line and record the thickness x of each. Calculate the two sample statistics x = Sample mean =

Σx 11 M = Median = Sixth sample measurement when the 11 thicknesses are arranged in ascending order Obtain approximations to the sampling distributions of x and M.