Set X i = i, i = 1, ... , 20, and compute the 20% trimmed mean and the M-estimate of location based on Huber’s Ψ. Next set X 20 = 200 and compute both estimates of location. Replace X 19 with 200 and...

Set X_i
= i, i = 1, ... , 20, and compute the 20% trimmed mean and the M-estimate of location based on Huber’s Ψ. Next set X₂₀
= 200 and compute both estimates of location. Replace X₁₉
with 200 and again estimate the measures of location. Keep doing this until the upper half of the data is equal to 200. Comment on the resistance of theM-estimator versus 20% trimming.