Let a population consist of the values 8 ​cigarettes, 9 ​cigarettes, and 22 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with​ replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a​ population? Calculate the mean absolute deviation for each possible sample of size 2 from the population.