SAT Inference from sample statistics and margin of error Practice Question 14 (Easy)

Question bank / Inference from sample statistics and margin of error

Math · Problem-Solving and Data AnalysisEasy

An inspector selected a random sample of $50$ boxes from a shipment of $2{,}000$ boxes and found that $3$ of the sampled boxes were damaged. Based on this sample, which of the following is the best estimate of the number of damaged boxes in the entire shipment?

$3$

$60$

$120$

$150$

Show answer and explanation

Answer: C

The proportion of damaged boxes in the sample is $\frac{3}{50} = 0.06$ . Applying this proportion to the shipment gives $0.06 \times 2000 = 120$ damaged boxes.

Choice A is the number of damaged boxes in the sample, not an estimate for the whole shipment.

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