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Unformatted text preview: r students and parents). GO ON TO THE NEXT PAGE. -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. Visit apcentral.collegeboard.com (for AP professionals) and www.collegeboard.com/apstudents (for students and parents). GO ON TO THE NEXT PAGE. -7- 2008 AP® ST...
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