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MeanDifferenceTest[list1, list2, 0]
performs a test with null hypothesis 1-2=0.
  • MeanDifferenceTest[list1, list2, 0] gives a p-value for the test that the difference between the means 1 and 2 of the populations from which list1 and list2 were sampled is significantly different from 0.
  • MeanDifferenceTest 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 t 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:
EqualVariancesFalsewhether the unknown population variances are assumed equal
FullReportFalsewhether to include detailed information about a test
KnownVarianceNonevariance of population
SignificanceLevelNonesignificance level of the test
TwoSidedFalsewhether to perform a two-sided test
A test of the difference of population means against 0:
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