This problem demonstrates a possible though rare situation t

This problem demonstrates a possible (though rare) situation that can occur with group comparisons. The groups are sections and the dependent variable is an exam score. Run a one-factor ANOVA (fixed effect) with alpha = 0.05. Report the F-ratio to 3 decimal places and the P-value to 4 decimal places. What is the conclusion from the ANOVA? Calculate the group means for each section: Conduct 3 independent sample t-tests for each possible pair of sections. (Though we will see later that it might not be appropriate, retain the significance level a = 0.05.) Report the P-value (accurate to 4 decimal places) for each pairwise comparison. Based on these comparisons, which pair of groups have statistically significantly different means?

Solution