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Hypothesis Testing Package Symbol

VarianceTest

VarianceTest[list,

₀²]
performs a test with null hypothesis

²=

₀².

To use VarianceTest, you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].

VarianceTest[list, ₀²] gives a p-value for the test that the variance of the population from which list was sampled is significantly different from ₀².

VarianceTest uses the test statistic df var/₀², where var=Variance[list] and df=Length[list]-1.

VarianceTest is based on a ² distribution with Length[list]-1 degrees of freedom.

FullReport	False	whether to include detailed information about a test
SignificanceLevel	None	significance level of the test
TwoSided	False	whether to perform a two-sided test

With the option FullReport->True, VarianceTest also returns the sample variance, the test statistic, and the distribution used to generate the p-value.

A test of the population variance against 1:

Needs["HypothesisTesting`"]

A test of the population variance against 1:

A full report for a variance test:

A test at significance level .01:

A two-sided variance test: