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Two Sample t-Test
 

The two sample t-test is a hypothesis test used to to compare the means of two reasonably small (30 or less) samples to see if it is feasible that they come from the same population. The hypothesis is:

H0 the population means are equal
H1 the popular means are different

The test is:

Step 1: calculate the pooled standard deviation:

pooled standard deviation

Step 2: calculate the t statistic:

t statistic

The degrees of freedom:

sample means
n1, n2 sample sizes
s1, s2 sample standard deviations
ν degrees of freedom

See also Paired t-Test and One Sample t-Test

 

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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