trustmebro.to/r/…
✓ checked
trust me, bro:
here is the receipt.
the claim

The standard error of a sample mean shrinks in proportion to the square root of the sample size.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
3 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that the standard error of a sample mean shrinks in proportion to the square root of the sample size?

Yes. A reference article states directly that the standard error of the mean equals the standard deviation divided by the square root of the sample size, which is the claim's proportionality. Two further studies report only that standard error decreases as sample size grows, without the square-root form.

Verdict: SUPPORTED · 3 sources for, 0 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence for · 3
Standard error
Get citation
Standard error. (n.d.). en.wikipedia.org. https://en.wikipedia.org/wiki/Standard_error

See more details
More for · 2
Expert-based ecosystem services capacity matrices: Dealing with scoring variability
2017
Get citation
Expert-based ecosystem services capacity matrices: Dealing with scoring variability. (2017). hal.science. https://doi.org/10.1016/j.ecolind.2017.03.043

Exploring errors in paleoclimate proxy reconstructions using Monte Carlo simulations: paleotemperature from mollusk and coral geochemistry
Get citation
Exploring errors in paleoclimate proxy reconstructions using Monte Carlo simulations: paleotemperature from mollusk and coral geochemistry. (n.d.). cir.nii.ac.jp. https://doi.org/10.5194/cp-8-433-2012

Receipt History
Anyone with this link can read the claim and its public receipt, including any personal information in that text. Open permanent receipt.
Check your own claim
Challenge the receipt
Requests are recorded for review. This does not start an automatic check or guarantee a response time.

Citation formatting by citeproc-js (Frank Bennett) and the Citation Style Language project. Source and licenses.

This receipt is an automated verdict against our published method · not an opinion about any author or publication.
Terms · Privacy · How verdicts work