Problem preview

S-IC.4 Warmup M3-050-A05-V04

Use sample data to estimate population means/proportions and develop margins of error using simulation.

Estimate the margin of error from a simulation or bootstrap distribution

Problem

A bootstrap distribution of sample means is centered at \(72\), and most of the simulated means fall between \(68\) and \(76\). What is a reasonable estimate of the margin of error?

Answer choices

Choose your path.

Preview only

A reasonable margin of error is about 2 because 68 to 72 is about 2 away from the center.

A reasonable margin of error is about 8 because the simulated means go from 68 to 76, so you subtract the endpoints.

A reasonable margin of error is about 72 because the distribution is centered at 72, so that should be the error.

A reasonable margin of error is about 4 because the center is 72 and one edge of the usual range, 76, is 4 away.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

Curriculum context

Course: Math III
Standard: S-IC.4
Category: Statistics and Probability
Domain: Making Inferences and Justifying Conclusions
Objective: Use sample data to estimate population means/proportions and develop margins of error using simulation.
Problem type: Estimate the margin of error from a simulation or bootstrap distribution