SAT question f4b3672a (Inference From Sample Statistics And Margin Of Error)

Question

A certain forest is 253 acres. To estimate the number of trees in the forest, a ranger randomly selects 5 different 1 -acre parcels in the forest and determines the number of trees in each parcel. The numbers of trees in the sample acres are 51 , 59 , 45 , 52 , and 73 . Based on the mean of the sample, which of the following ranges contains the best estimate for the number of trees in the entire forest?

College Board · Accepted Answer

The correct answer is C. Choice C is correct. The mean of the 5 samples is (51 + 59 + 45 + 52 + 73)/5 = 56 trees per acre. The best estimate for the total number of trees in the forest is the product of the mean number of trees per acre in the sample and the total number of acres in the forest. This is (56)(253) = 14,168 , which is between 13,500 and 14,500 .

CookSAT · Answer

Note: The mean of the sample is multiplied by 253 acres to estimate the total trees.

Explanation

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Why the other choices are wrong

SAT Question f4b3672a: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong