• Complete pair-wise comparisons for ANOVA
• Calculate a confidence interval and p-value for pair-wise comparisons and explain what it means

Scenario: Suppose you are studying the efficacy of new statistics teaching methods. You randomly assign [latex]20[/latex] students to each of the four different methods: [latex]A[/latex], [latex]B[/latex], [latex]C[/latex], and [latex]D[/latex]. You test their knowledge on the midterm to compare the differences between the teaching methods. For this activity, you may assume the conditions for ANOVA are met.

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We could continue and conduct all six different hypothesis tests/confidence intervals in order to determine exactly which means are different from one another.