Let a population consist of the values 8 cigarettes, 20 cigarettes, and 21 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Let a population consist of the values 8 cigarettes, 20 cigarettes, and 21 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?
Transcribed Image Text:Let a population consist of the values 8 cigarettes, 20 cigarettes, and 21 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?
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