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 False whether to include detailed information about a test KnownVariance None variance of population SignificanceLevel None significance level of the test TwoSided False whether to perform a two-sided test
• With , MeanTest also returns the sample mean, the test statistic, and the distribution used to generate the -value.

# Examples

open allclose all

## 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 twosided 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_2023_meantest, author="Wolfram Research", title="{MeanTest}", year="2007", howpublished="\url{https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html}", note=[Accessed: 21-September-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2023_meantest, organization={Wolfram Research}, title={MeanTest}, year={2007}, url={https://reference.wolfram.com/language/HypothesisTesting/ref/MeanTest.html}, note=[Accessed: 21-September-2023 ]}