I'm interested in the effectiveness of three different interventions for increasing happiness in people. I collect data from 36 participants. The participants are divided evenly into the three conditions.

My research assistant calculated two types of sums of squares before running out of the lab yelling something about how "making me calculate an ANOVA by hand is cruel and unusual punishment." Will you please finish up where they left off? Below is what they'd calculated so far:

SSM= 36.78

SST= 291.47

Calculate an F-statistic from the information provided in the question.