To determine the total number of participants involved in this study, we need to look at the notation provided: F(3, 32) = 9.50.
Here, the numbers inside the parentheses represent the degrees of freedom for the numerator and denominator, respectively. The degrees of freedom for the numerator (df1) is 3, and the degrees of freedom for the denominator (df2) is 32.
The degrees of freedom for the numerator represent the number of groups being compared, and the degrees of freedom for the denominator represent the total number of participants minus the number of groups being compared.
To calculate the total number of participants, we need to add the degrees of freedom for the numerator (df1) and the degrees of freedom for the denominator (df2), and then subtract 1 (since the degrees of freedom include the number of groups being compared).
Total participants = df1 + df2 - 1
Total participants = 3 + 32 - 1 = 34
Therefore, the total number of participants involved in this study is \boxed{34}.