A study compared the intensity felt of unrequitted love among three groups: grou

Question

A study compared the intensity felt of unrequitted love among three groups:

group one: 50 individuals who were currently experienceing unrequited love, who had a mean intensity of M=3.5, S^2=5.2
group two: 50 who had previously experienced unrequited love and described their experiences M=3.2, S^2=5.8 group three: 50 who had never experienced unrequited love but described how they thought it would feel M=3.8, S^2=4.8.

i found the grand mean: (3.5+3.2+3.8)/3 = 3.5

then i tried to find MSB: (sum of(M-GM)^2)/(k-1)
( (3.5-3.5)^2 + (3.2-3.5)^2 + (3.8-3.5)^2 ) / 2 = .09
so .09 = MSB

then I found MSW by adding all the s^2 and dividing by 3 = 5.267

i found F(cv) - 3.10 (dfw 150, dfb 2 but my book only had dfw up to 90)

so to find the F score i divided .09/5.267
i know there's something wrong with the MSB but idk what i'm doing wrong because this is what my notes say to do?

Explanation / Answer

Sol)

Conclusion: P=0.4277 and alpha=0.05

P > alpha we accept the Null hypothesis.

ANOVA Source of Variation SS df MS F P-value Between Groups 9 2 4.5 0.8543 0.4277 Within Groups 774.33 147 5.27 Total 783.33 149

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