HYPOTHESIS TESTING PACKAGE SYMBOL

MeanDifferenceTest

performs a test with null hypothesis .

DetailsDetails

• To use , you first need to load the Hypothesis Testing Package using Needs["HypothesisTesting`"].
• gives a -value for the test that the difference between the means and of the populations from which and were sampled is significantly different from .
• is based on a normal distribution if the population variances are assumed known.
• If the variances for the two populations are assumed equal and unknown, the test is based on Student's distribution with Length[list1]+Length[list2]-2 degrees of freedom.
• If the population variances are not assumed known and not assumed equal, Welch's approximation for the degrees of freedom is used.
• The following options can be given:
•  EqualVariances False whether the unknown population variances are assumed equal 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

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

A test of the difference of population means against 0:

 Out[2]=