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: [tex]df=(df_{\text{Between treatment}}, df_{error})[/tex]
The formula for between treatment is: [tex]df_{\text{Between treatment}}=k-1[/tex]
Substitute [tex]df_{\text{Between treatment}}=2[/tex] in above formula.
[tex]2=k-1[/tex]
[tex]k=3[/tex]
Therefore, 3 treatment conditions were compared in the study.
Part (B) How many individuals participated in the study?
The error degree of freedom is [tex]df_{error}=(k-1)(n-1)[/tex]
Substitute [tex]df_{error}=26[/tex] and k=3 in above formula.
[tex]26=(3-1)(n-1)[/tex]
[tex]26=2(n-1)[/tex]
[tex]14=n[/tex]
Hence, 14 individuals participated in the study.