=+15.19 ● The Gunning Fog index is a measure of reading difficulty based on the average number of words per sentence and the percentage of words with three or more syllables. High values of the Gunning Fog index are associated with difficult reading levels. Independent random samples of six advertisements were taken from three different magazines, and Gunning Fog indices were computed to obtain the data given in the accompanying table

(“Readability Levels of Magazine Advertisements,” Journal of Advertising Research [1981]: 45–50). Construct an ANOVA table, and then use a significance level of .01 to test the null hypothesis of no difference between the mean Gunning Fog index levels for advertisements appearing in the three magazines.

Scientific American 15.75 11.55 11.16 9.92 9.23 8.20 Fortune 12.63 11.46 10.77 9.93 9.87 9.42 New Yorker 9.27 8.28 8.15 6.37 6.37 5.66