For which of the following scenarios would it be most appropriate to run a Bonferroni Test to see which mean(s) are significantly different from the rest?

• A.
• B.
• C.

Answer: (C)

Verified step by step guidance

1. Step 1: Understand the purpose of the Bonferroni Test. It is a post-hoc multiple comparison procedure used after an ANOVA test to control the overall Type I error rate when comparing multiple group means.
2. Step 2: Examine the box plots to identify if there is an indication of at least one group mean being different from the others. The Bonferroni Test is most appropriate when you suspect some means differ but want to confirm which specific pairs are significantly different.
3. Step 3: Look at the first box plot image: the medians and ranges of the groups appear quite similar, with overlapping interquartile ranges, suggesting no obvious differences between group means.
4. Step 4: Look at the second box plot image: the groups show a clear descending order with little overlap between the boxes, indicating potential significant differences between group means.
5. Step 5: Look at the third box plot image: one group (the green box) stands out with a higher median and less overlap with the other groups, suggesting it might be significantly different from the rest, making this scenario most appropriate for running a Bonferroni Test to identify which means differ.