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.
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.
$$ \begin{array}{c|cccccccccc} \text{older} & 12 & 16 & 10 & 19 & 20 & 11 & 14 & 25 & 16 & 12 \\ \text{younger} & 10 & 9 & 12 & 15 & 14 & 15 & 13 & 12 & 21 & 15 \end{array} $$Are the means between two data sets are significantly different at level $\alpha < 0.05$.
$$ \begin{array}{c|cccccccccc} \text{group 1} & 5.1 & 4.3 & 3.1 & 4.6 & 3.9 & 4.3 & 4.7 & 3.8 & 4.1 & 5.0 \\ \text{group 2} & 2.1 & 3.4 & 1.8 & 3.5 & 4.0 & 2.5 & 2.1 & 3.5 & 2.8 & 1.9 \end{array} $$