A student analyzed data for a one-way analysis of variance situation with three levels of the factor, and 21 participants measured at each level. Unfortunately, the student lost the computer output after completing the analysis. "All I remember is that one of the mean squares was 100 and the other was 500, but I can't tell you which one was which." she explained. "Oh, and I recall that the p-value for the test was around 0.01."

(i) Based on this information, construct the ANOVA table.

(5 marks)

(ii) Assume that the factor is fixed, draw a conclusion for this analysis.

(3 marks)