Question

An independent-measures study comparing two treatment conditions produces a t statistic with df = 18.If the two samples are the same size, how many participants were in each of the samples?

Answer 1

Answer: 10

Explanation:

We know that the degree of freedom for two sample with sample sizes
`n_1` and
`n_2` is given by:-

`df=n_1+n_2-2`

If sample sizes are same , then
`df=n+n-2=2n-2` (1)

Given : An independent-measures study comparing two treatment conditions produces a t statistic with df = 18.

Then, from (1) , we have

`2n-2=18\\\\\Rightarrow\ 2n=20\\\\\Rightarrow\ n=10`

Hence, the number of participants were in each of the samples =10