For this discussion consider the following. Four different statistics have been
ID: 2909197 • Letter: F
Question
For this discussion consider the following. 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 statistics, A, B, C, or D would be a better estimator of the population parameter? Explain your choice.
Statistic A Statistic B 50 75 100 50 75 100 Statistic C Statistic D 50 75 100 50 75Explanation / Answer
The statistics A would be better estimator of the population parameter. Because Statistics A is approximately follows the normal distribution with mean is 75. And value of mean is close to population parameter.
Hence Statistics A is appropriate
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