SAT question a2162ea1 (Inference From Sample Statistics And Margin Of Error)

Question

A company fills boxes with approximately 23 pounds of oranges. To test the accuracy of the filling process, 344 boxes of oranges were selected at random and weighed. Based on the sample, it is estimated that the average weight of all boxes of oranges filled by the company in an 8 -hour period is 23.1 pounds, with an associated margin of error of 0.19 pounds. Which of the following is the best interpretation of this estimate?

College Board · Accepted Answer

The correct answer is A. Choice A is correct. It's given that the estimate for the average weight of all boxes of oranges filled by the company in an 8 -hour period is 23.1 pounds, with an associated margin of error of 0.19 pounds. It follows that plausible values for this average weight are between 23.1 - 0.19 pounds and 23.1 + 0.19 pounds. Therefore, plausible values for the average weight of all boxes of oranges filled by the company are between 22.91 pounds and 23.29 pounds.

Explanation

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Why the other choices are wrong

SAT Question a2162ea1: 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