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MeanTest[list,μ0]

performs a test with null hypothesis μ=μ0.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Options  
FullReport  
KnownVariance  
SignificanceLevel  
TwoSided  
See Also
Tech Notes
Related Guides
Cite this Page
HypothesisTesting`
HypothesisTesting`

MeanTest

MeanTest[list,μ0]

performs a test with null hypothesis μ=μ0.

Details and Options

  • To use MeanTest, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
  • MeanTest[list,μ0] gives a ‐value for the test that the mean of the population from which list was sampled is significantly different from μ0.
  • If the variance is assumed known, MeanTest is based on the normal distribution.
  • If the variance is not assumed known, MeanTest is based on Student's distribution with Length[list]-1 degrees of freedom.
  • The following options can be given:
  • FullReport Falsewhether to include detailed information about a test
    KnownVariance Nonevariance of population
    SignificanceLevel Nonesignificance level of the test
    TwoSided Falsewhether to perform a two-sided test
  • With FullReport->True, MeanTest also returns the sample mean, the test statistic, and the distribution used to generate the -value.

Examples

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Basic Examples  (1)

A test of the population mean against 0:

Options  (4)

FullReport  (1)

A full report for a mean test:

KnownVariance  (1)

A test assuming the population variance is 5:

SignificanceLevel  (1)

A test at significance level .01:

TwoSided  (1)

A two‐sided mean test:

Wolfram Research (2007), MeanTest, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html.

Text

Wolfram Research (2007), MeanTest, Wolfram Language function, https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html.

CMS

Wolfram Language. 2007. "MeanTest." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html.

APA

Wolfram Language. (2007). MeanTest. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html

BibTeX

@misc{reference.wolfram_2025_meantest, author="Wolfram Research", title="{MeanTest}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html}", note=[Accessed: 13-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_meantest, organization={Wolfram Research}, title={MeanTest}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html}, note=[Accessed: 13-August-2025]}