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-6- 2008 AP® STATISTICS FREE-RESPONSE QUESTIONS (Form B)
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. (a) Which of the statistics appear to be unbiased estimators of the population parameter?
How can you tell?
(b) Which of statistics A or B would be a better estimator of the population parameter?
Explain your choice.
(c) Which of statistics C or D would be a better estimator of the population parameter?
Explain your choice. © 2008 The College Board. All rights reserved.
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-7- 2008 AP® ST...
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- Fall '11