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Full answer: Section II: Free Response Show all your work. Indicate clearly the methods

Chapter 7, Problem T7.11

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QUESTION:

Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1 Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram. Starnes/Yates/Moore: The Practice of Statistics, 4E New Fig.: 07_UN20 Perm. Fig.: 7065 First Pass: 2010-06-21 A B C Which statistic would provide the best estimate of the parameter? Justify your answer.

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QUESTION:

Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1 Below are histograms of the values taken by three sample statistics in several hundred samples from the same population. The true value of the population parameter is marked with an arrow on each histogram. Starnes/Yates/Moore: The Practice of Statistics, 4E New Fig.: 07_UN20 Perm. Fig.: 7065 First Pass: 2010-06-21 A B C Which statistic would provide the best estimate of the parameter? Justify your answer.

ANSWER:

Step 1 of 2

The best estimate is the histogram with the least variability (thus the least overall width) and with the bars centered about the true value (indicated by the arrow).

Thus histogram A will lead to the best estimate of the parameter.

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