Working with a partner, consider the following:

1. Each of the four accompanying graphs shows a dotplot of data from three separate random samples. For each of the four dotplots, indicate whether you think that the basic assumptions for single-factor ANOVA are plausible. Write a sentence or two justifying your answer.

Case 1

Case 2

Case 3

Case 4

2. Each of the three accompanying graphs shows a dotplot of data from three separate random samples. For each of the three dotplots, indicate whether you think that the three population means are probably not all the same, you think that the three population means might be the same, or you are unsure whether the population means could be the same. Write a sentence or two explaining your reasoning.

Case A

Case B

Case C

3. Sample data for each of the three cases in Step 2 are shown in the accompanying table. For each of the three cases, carry out a single-factor ANOVA. Is the result of the F test in each case consistent with your answers in Step 2? Explain.

Transcribed Image Text:

Sample 3 Sample 2 Sample 1 85 95 105 115