The Probability That a Measurement Falls within a Range of n Standard Deviations from an Estimate of the Mean

Author

Houston, Louis M.

Source

ISRN Applied Mathematics

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-12-18

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We derive a general equation for the probability that a measurement falls within a range of n standard deviations from an estimate of the mean.

So, we provide a format that is compatible with a confidence interval centered about the mean that is naturally independent of the sample size.

The equation is derived by interpolating theoretical results for extreme sample sizes.

The intermediate value of the equation is confirmed with a computational test.

American Psychological Association (APA)

Houston, Louis M.. 2012. The Probability That a Measurement Falls within a Range of n Standard Deviations from an Estimate of the Mean. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-492471

Modern Language Association (MLA)

Houston, Louis M.. The Probability That a Measurement Falls within a Range of n Standard Deviations from an Estimate of the Mean. ISRN Applied Mathematics No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-492471

American Medical Association (AMA)

Houston, Louis M.. The Probability That a Measurement Falls within a Range of n Standard Deviations from an Estimate of the Mean. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-492471

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-492471