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Four different statistics have been proposed as estimators of a population parameter. To investigate the behavior of these estimators, 500 random samples are selected from

Four different statistics have been proposed as estimators of a population parameter. To investigate the behavior of these estimators, 500 random samples are selected from a known population, and each statistic is calculated for each sample. The true value of the population parameter is 75. The graphs below show the distribution of values for each statistic.

Which of the statistics, A, B, C, or D would be a better estimator of the population parameter? Explain your choice.

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Statistic A Statistic B 50 75 100 50 75 100 Statistic C Statistic D 50 75 100 50 75 100

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