Let a population consist of the values 9 cigarettes, 10 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. Sample Mean Absolute Deviation {9,9} {9,10} {9,20} {10,9} {10,10} {10,20} {20,9} {20,10} {20,20}
Let a population consist of the values 9 cigarettes, 10 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. Sample Mean Absolute Deviation {9,9} {9,10} {9,20} {10,9} {10,10} {10,20} {20,9} {20,10} {20,20}
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Let a population consist of the values
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?
9
cigarettes,
10
cigarettes, and
20
cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have Calculate the mean absolute deviation for each possible sample of size 2 from the population.
Sample
|
Mean Absolute Deviation
|
|
---|---|---|
{9,9}
|
|
|
{9,10}
|
|
|
{9,20}
|
|
|
{10,9}
|
|
|
{10,10}
|
|
|
{10,20}
|
|
|
{20,9}
|
|
|
{20,10}
|
|
|
{20,20}
|
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