Chapter 11, Problem 15SE

Comparing $F$ -Values from Boxplots (Example 3) Refer to the figure. Assume that all distributions are symmetric (therefore the sample mean and median are approximately equal) 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 second is based on samples L, M, and N (below the horizontal line). One of the calculated values of the $F$ -statistic is 9.38, and the other is 150.00. Which value is which? Explain.