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1. The dotplots below show an approximation to the sampling distribution for three different estimators of the same population parameter.
-If the actual value of the population parameter is 5, which dot plot appears to be unbiased estimators?
-If the actual value of the population parameter is 5, which dotplot appears to be the better unbiased estimators?
2. 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 appear to be unbiased estimators of the population parameter? How can you tell?
-Which of statistics A or B would be a better estimator of the population parameter? Explain your choice.
-Which of statistics C or D would be a better estimator of the population parameter? Explain your choice.
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