Let a population consist of the values 8 cigarettes, 9 cigarettes, and 20 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. Mean Absolute Deviation Sample {8,8} {8,9} {8,20} {9,8} {9,9} {9,20} {20,8} {20,9} {20,20} (Type integers or decimals rounded to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Let a population consist of the values 8 cigarettes, 9 cigarettes, and 20 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.
Mean Absolute Deviation
Sample
{8,8}
{8,9}
{8,20}
{9,8}
{9,9}
{9,20}
{20,8}
{20,9}
{20,20}
(Type integers or decimals rounded to one decimal place as needed.)
Transcribed Image Text:Let a population consist of the values 8 cigarettes, 9 cigarettes, and 20 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. Mean Absolute Deviation Sample {8,8} {8,9} {8,20} {9,8} {9,9} {9,20} {20,8} {20,9} {20,20} (Type integers or decimals rounded to one decimal place as needed.)
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