Chapter 11, Problem 16SE

Comparing $F$ -Values from Boxplots Refer to the following figure. Assume that all data sets are symmetric and that all the samples are the same size. Imagine carrying out two ANOVAs. The first compares the means based on samples A, B, and C (above the horizontal line), and the other is based on samples G, H, and K (below the horizontal line). One of the calculated values of the $F$ -statistic is 9.38, and the other is 25.00. Which value is which? Explain.