# PROPHET StatGuide: One-sample t test

##
The one-sample t test is used to test the
null hypothesis that the
mean of the population
from which the data
sample
is drawn is equal to a hypothesized value.

### Assumptions:

### Guidance:

**Ways to detect** before performing the
one-sample t test whether your data violate any
assumptions.

**Ways to examine** one-sample t test results to detect
assumption violations.

**Possible alternatives** if your data or one-sample t test
results indicate assumption violations.

To properly analyze and interpret
results of the *one-sample t test*, you should be familiar with the
following terms and concepts:

If you are not familiar with these terms and concepts, you are advised to
consult with a statistician. Failure to understand and properly apply the *
one-sample t test* may result in drawing erroneous conclusions from your data.
Additionally, you may want to consult the following references:
- Brownlee, K. A. 1965.
*Statistical Theory and Methodology
in Science and Engineering.* New York: John Wiley & Sons.
- Daniel, Wayne W. 1995.
*Biostatistics.* 6th ed.
New York: John Wiley & Sons.
- Miller, Rupert G. Jr. 1986.
*Beyond ANOVA, Basics of Applied
Statistics.* New York: John Wiley & Sons.
- Rosner, Bernard. 1995.
*Fundamentals of Biostatistics.*
4th ed. Belmont, California: Duxbury Press.
- Sokal, Robert R. and Rohlf, F. James. 1995.
*Biometry.* 3rd. ed.
New York: W. H. Freeman and Co.
- Zar, Jerrold H. 1996.
*Biostatistical Analysis.* 3rd ed. Upper Saddle River, NJ:
Prentice-Hall.

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StatGuide.

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##### Last modified: February 20, 1997

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