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: