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Two tailed test

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Are there other methods besides ANOVA that can be used to evaluate whether the difference in means between TWO OR MORE samples is significant?

For what types of distributions?

I am looking for clarity in addition to what can be done for a normal distribution.

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1. When both sample sizes are greater than 30 than normal distribution is used to do a test of hypothesis about difference between two means. Here one will chose a two-tailed test, as we have to test whether two means are or are not equal. The method of testing is:

? State the hypothesis
e.g H0 : ...

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