Calculate the mean absolute deviation for each possible sample of size 2 from the population Mean Absolute Deviation Sample {9.9) 0 (9,20) 5.5 (9,21) 6 (20,9} 5.5 (20,20} 0 {20,21} 0.5 (21,9) (21,20) {21,21} 0.5 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.) Calculate the population mean absolute deviation. The population mean absolute deviation is (Type an integer or decimal rounded to one decimal place as needed.) What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? OA. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population OB. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around a different value than the population parameter OC. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic is the same value regardless of which sample is chosen OD. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population.
Calculate the mean absolute deviation for each possible sample of size 2 from the population Mean Absolute Deviation Sample {9.9) 0 (9,20) 5.5 (9,21) 6 (20,9} 5.5 (20,20} 0 {20,21} 0.5 (21,9) (21,20) {21,21} 0.5 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.) Calculate the population mean absolute deviation. The population mean absolute deviation is (Type an integer or decimal rounded to one decimal place as needed.) What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population? OA. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population OB. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around a different value than the population parameter OC. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic is the same value regardless of which sample is chosen OD. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the 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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Transcribed Image Text:Calculate the mean absolute deviation for each possible sample of size 2 from the population.
Sample
Mean Absolute Deviation
{9,9}
{9,20}
5.5
{9,21}
6
{20,9}
5.5
{20,20}
0
{20,21}
0.5
{21,9}
{21,20)
{21,21}
0.5
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.)
Calculate the population mean absolute deviation.
The population mean absolute deviation is
(Type an integer or decimal rounded to one decimal place as needed.)
What do these values indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
OA. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population.
OB. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around a different value than the population parameter.
OC. The sample mean absolute deviation is an unbiased estimator of the population mean absolute deviation because the sample statistic is the same value regardless of which sample is chosen.
OD. The sample mean absolute deviation is a biased estimator of the population mean absolute deviation because the sample statistic centers around the mean value of the population.
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