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The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A random sample of 9 adult female black bears from those tagged had an average body weight of 203 pounds with standard deviation 25 pounds. Which of the following is a point estimate for the population mean weight of all female black bears that are tagged? (A) 9 (C) 25 (E) 25 (D) 2,844 (B) 203

Ask by Martinez Park. in the United States
Feb 22,2025

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The point estimate for the population mean weight is 203 pounds.

Solución

The best point estimate for the population mean weight is the sample mean, which is given as 203 pounds. Therefore, the answer is (B) 203.

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The Deep Dive

The point estimate for the population mean weight of all tagged adult female black bears is the average body weight from the sample. In this case, that’s 203 pounds. A point estimate is a single value estimate of a parameter, and it provides a quick snapshot without the complexity of a full analysis. While 203 pounds is our key estimate, don’t forget the beauty of sampling! Each sample can lead to slightly different estimates, or in other words, if you were to randomly sample another group of bears, you might find a heavier or lighter average. This variability can pave the way for deeper statistical analysis, like confidence intervals. Fun stuff!

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