Let a population consist of the values 7 cigarettes, 8 cigarettes, and 19 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 {7,7} {7,8} 0 0.5 6 {7,19} {8,7} 0.5 {8,8} 0 {8,19} 5.5 {19,7} 6 {19,8} 5.5 {19,19} 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 (Type an integer or decimal rounded to one decimal place as needed.) 2 9

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Let a population consist of the values 7 cigarettes, 8 cigarettes, and 19 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
{7,7}
{7,8}
0
0.5
6
{7,19}
{8,7}
0.5
{8,8}
0
{8,19}
5.5
{19,7}
6
{19,8}
5.5
{19,19}
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
(Type an integer or decimal rounded to one decimal place as needed.)
2
9
Transcribed Image Text:Let a population consist of the values 7 cigarettes, 8 cigarettes, and 19 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 {7,7} {7,8} 0 0.5 6 {7,19} {8,7} 0.5 {8,8} 0 {8,19} 5.5 {19,7} 6 {19,8} 5.5 {19,19} 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 (Type an integer or decimal rounded to one decimal place as needed.) 2 9
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