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# T-Test calculator

The Student's t-test is used to determine if means of two data sets differ significantly. This calculator will generate a step by step explanation on how to apply t - test.

Two sample t-test calculator
0 1 2 3 4 5 6 7 8 9 . , del
Use data grit to input values
 Groups Have Equal Variance (default) Groups Have Unequal Variance (Welch t-test)
 Two Tailed Test (default) One Tailed Test
 0.05 (default) 0.01 0.001
 Unpaired T Test (default) Paired (Dependent) T Test
Show me the solution without an explanation
One sample t-test calculator
0 1 2 3 4 5 6 7 8 9 . , del
 0.05 (default) 0.01 0.001
 Two Tailed Test (default) One Tailed Test
Show me the solution without an explanation
examples
example 1:

Twelve younger adults and twelve older adults conducted a life satisfaction test. The data are presented in the table below. Compute the appropriate t-test.

$$\begin{array}{c|cccccccccc} \text{older} & ~12~ & ~16~ & ~10~ & ~19~ & ~20~ & ~11~ & ~14~ & ~25~ & ~16~ & ~12 \\ \text{younger} & ~10~ & ~9~ & ~12~ & ~15~ & ~14~ & ~15~ & ~13~ & ~12~ & ~21~ & ~15 \end{array}$$
example 2:

Are the means between two data sets are significantly different at level $\alpha < 0.05$.

$$\begin{array}{c|cccccccccc} \text{group 1} & ~5.1~ & ~4.3~ & ~3.1~ & ~4.6~ & ~3.9~ & ~4.3~ & ~4.7~ & ~3.8~ & ~4.1~ & ~5.0 \\ \text{group 2} & ~2.1~ & ~3.4~ & ~1.8~ & ~3.5~ & ~4.0~ & ~2.5~ & ~2.1~ & ~3.5~ & ~2.8~ & ~1.9 \end{array}$$

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