The Gunning Fog index is a measure of reading difficulty based on the average nu
ID: 3216580 • Letter: T
Question
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. 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. (Round all answers to three decimal places.)
Scientific American 12.16 10.23 10.55 9.2 10.92 16.75
Fortune 10.46 9.42 9.93 11.63 11.77 10.87
New Yorker 7.15 7.28 10.27 4.66 5.37 5.37
The conclusion is the following. reject H0 or fail to reject H0
Source of Variation df sum of squares mean squares F Treatments error totalExplanation / Answer
The statistics software output for ANOVA table is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
ANOVA table
p - value = 0.0016 which is less than 0.01.
Hence,
Reject Ho.
Column n Mean Std. Dev. Std. Error Scientific American 6 11.635 2.6844199 1.0959098 Fortune 6 10.68 0.93007527 0.37970164 New Yorker 6 6.6833333 2.0484889 0.83629208Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.