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Hypothesis Test for Means

Hypothesis tests for the means are hypothesis tests used to test the means of samples in order to make inferences about the means of the populations from which they are drawn.

Parametric tests (tests that rely on the data conforming to a normal distribution) include:

 t-test comparing the mean against a specified value using a sample of 30 items or fewer Two sample t-test comparing the means of two samples of 30 items or fewer Paired t-test comparing the means of two samples of 30 items or fewer, when the items in the two samples can be 'paired' z-test comparing the the mean against a specified value when the sample has more than 30 items or the standard deviation is known

Nonparametric tests for the mean include:

 Wilcoxon Signed Rank Test (nonparametric equivalent of the one sample t-test) Mann Whitney Test (nonparametric equivalent of the two sample t-test)

If there are more than two populations the Analysis of Variance (ANOVA) is used.

 Analytical and descriptive statistics are covered in the MiC Quality online course Primer in Statistics. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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