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Module 9 explains that ANOVA compares distributions by considering both the separation between sample means and the variance within samples.

A significant ANOVA result tells the analyst exactly which two groups differ.

A one-way ANOVA comparing three employee groups is significant. The group averages are 61, 78, and 80. Which statement is most defensible without further testing?

In Module 9’s ice cream example, ketchup on ice cream illustrates interaction because:

ANOVA evaluates differences among groups by considering both the differences between group means and the variation within the groups.

A statistically significant ANOVA of 5 departments is followed by a manager saying, “This proves Department A is different from Department B.” Why is this statement not justified by ANOVA alone?

A researcher compares satisfaction by gender and commute category, with one score for each gender/commute combination. Which ANOVA type is appropriate?

In ANOVA, the null hypothesis is rejected when the p-value is less than the chosen __________ value.

A significant ANOVA compares 4 groups. How many unique pairwise comparisons are possible? (hint: use k(k-1)/2 or =combin)

After a significant single-factor ANOVA comparing four groups, what additional analysis is needed to determine exactly which groups differ?