Question

A researcher reports an independent-measures t statistic with df = 30. If the two samples are the same size (n1 = n2), then how many individuals are in each sample?

1) 15
2) 16
3) 30
4) 31

Answer 1

The number of individuals in each sample when the degrees of freedom (df) is 30 and the two samples are the same size (n1 = n2) is 16.

Step-by-step explanation:

When a researcher reports an independent-measures t statistic with df = 30, and the two samples are the same size (n1 = n2), to find the number of individuals in each sample, we can use the formula for degrees of freedom: df = n1 + n2 - 2. Since df is given as 30, we can set up the equation 30 = n1 + n2 - 2. With the additional information that n1 = n2, the equation simplifies to 30 = 2n - 2. Solving for n gives us n = 16. This means there are 16 individuals in each sample.