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? {8,20} 6 {9,8} 0.5 {9,9} 0 {9,20} 5.5 {20,8} 6 {20,9} 5.5 {20,20} 0 (Type integers or decimals rounded to one decimal place as needed.) Calculate the mean of the sample mean absolute deviations. The mean of the sample mean absolute deviations is 2.7. (Type an integer or decimal rounded to one decimal place as needed.) Calculate the population mean absolute deviation. The population mean absolute deviation is (Type an integer or decimal rounded to one decimal place as needed.)

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Author:Amos Gilat
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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?
{8,20}
6
{9,8}
0.5
{9,9}
0
{9,20}
5.5
{20,8}
6
{20,9}
5.5
{20,20}
0
(Type integers or decimals rounded to one decimal place as needed.)
Calculate the mean of the sample mean absolute deviations.
The mean of the sample mean absolute deviations is 2.7.
(Type an integer or decimal rounded to one decimal place as needed.)
Calculate the population mean absolute deviation.
The population mean absolute deviation is
(Type an integer or decimal 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? {8,20} 6 {9,8} 0.5 {9,9} 0 {9,20} 5.5 {20,8} 6 {20,9} 5.5 {20,20} 0 (Type integers or decimals rounded to one decimal place as needed.) Calculate the mean of the sample mean absolute deviations. The mean of the sample mean absolute deviations is 2.7. (Type an integer or decimal rounded to one decimal place as needed.) Calculate the population mean absolute deviation. The population mean absolute deviation is (Type an integer or decimal rounded to one decimal place as needed.)
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