Question

8. [3 pts] In class we considered a species of frogs with a true mean weight of 118 grams and standard deviation of 14 grams. Consider two estimators: the arithmetic mean (our usual mean) and the geometric mean (calculated using products and roots). The sampling distributions of each estimator are below, along with numeric summaries for each sampling distribution. Which estimator is preferred if we're trying to estimate the true mean weight of these frogs? Compare and contrast characteristics of each estimator in your decision. Arithmetic Mean Geometric Mean 114 118 122 112 116 120 GM T Q3maxstd. error Arithmetic 113.5 116.9 117.9 117.9 118.8 122.1 Geometric 112.9 116.1 117.0 117.0 117.9 122.5 1.42 1.39

Answer 1

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