Answer:
3 treatment conditions were compared in the study.
14 individuals participated in the study.
Step-by-step explanation:
Consider the provided information.
Part (A) How many treatment conditions were compared in the study?
There are two sets of degrees of freedom; one for the numerator and one for the denominator.
F ratio is defined as: ![df=(df_{\text{Between treatment}}, df_{error})](https://tex.z-dn.net/?f=df%3D%28df_%7B%5Ctext%7BBetween%20treatment%7D%7D%2C%20df_%7Berror%7D%29)
The formula for between treatment is: ![df_{\text{Between treatment}}=k-1](https://tex.z-dn.net/?f=df_%7B%5Ctext%7BBetween%20treatment%7D%7D%3Dk-1)
Substitute
in above formula.
![2=k-1](https://tex.z-dn.net/?f=2%3Dk-1)
![k=3](https://tex.z-dn.net/?f=k%3D3)
Therefore, 3 treatment conditions were compared in the study.
Part (B) How many individuals participated in the study?
The error degree of freedom is ![df_{error}=(k-1)(n-1)](https://tex.z-dn.net/?f=df_%7Berror%7D%3D%28k-1%29%28n-1%29)
Substitute
and k=3 in above formula.
![26=(3-1)(n-1)](https://tex.z-dn.net/?f=26%3D%283-1%29%28n-1%29)
![26=2(n-1)](https://tex.z-dn.net/?f=26%3D2%28n-1%29)
![14=n](https://tex.z-dn.net/?f=14%3Dn)
Hence, 14 individuals participated in the study.