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 :

JeanaShupp

Answer: 10

Step-by-step explanation:

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

[tex]df=n_1+n_2-2[/tex]

If sample sizes are same , then [tex]df=n+n-2=2n-2[/tex]   (1)

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

Then, from (1) , we have

[tex]2n-2=18\\\\\Rightarrow\ 2n=20\\\\\Rightarrow\ n=10[/tex]

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

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