Problem preview

S-IC.1 Warmup M3-047-A10-V02

Understand statistics as inference about population parameters from random samples.

Compute and interpret margin-of-error bounds

Problem

A population mean is estimated as \(82~\text{units}\) with a margin of error of \(5~\text{units}\). Compute the bounds and interpret the interval in the same units.

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82±5 units gives 77 to 87 units, a plausible interval for the population mean in the same units.

Use no margin and report the one-point interval 82 to 82 units.

Multiply instead of adding and subtracting: 82·5=410 units, and report 410 alone.

Treat 5 as percentage points and report 77% to 87% instead of an interval in units.

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Curriculum context

Course: Math III
Standard: S-IC.1
Category: Statistics and Probability
Domain: Making Inferences and Justifying Conclusions
Objective: Understand statistics as inference about population parameters from random samples.
Problem type: Compute and interpret margin-of-error bounds