A study compared the felt intensity of unrequited love (loving someone who doesn't love you) among three groups: 50 individuals who were currently experiencing unrequited love who had a mean experienced intensity = 3.5, S2 = 5.2; 50 who had previously experienced unrequited love and described their experiences retrospectively, M = 3.2, S2 = 5.8; and 50 who had never experienced unrequited love but described how they thought they would feel if they were to experience it, M = 3.8, S2 = 4.8. Determine the significance of the difference among groups, using the 5% level.
(a) Use the steps of hypothesis testing;
(b) Sketch the distributions involved.
(c) Figure the effect size for the study.
(d) Explain your answer to part (a) to someone who has never had a course in statistics.