Taking the natural logarithm of the response ratio values resulted in data that

Question

Taking the natural logarithm of the response ratio values resulted in data that fit the assumptions of a normal distribution with equal variance among groups. We can now proceed with an ANOVA. Here are the data summaries with the In[response ratio] as our response variable Enforcement level Light Mediumm Heavy 0.067 0.341 0.742 0.397 0.338 0.412 10 10 10 19) What is the observed value of the F-statistic for these data? a) 4.28 b) 4.75 c) 0.32 d) 8.56 e) 2.85 20) What is the critical value of the F-statistic for these data? a) 3.35 b) 3.32 c) 4.21 d) 4.17 e) 2.92 21) What is the most appropriate conclusion? a) b) P 0.05; Do not reject HO and conclude that there is no significant difference among group means

Explanation / Answer

from above data:

19) optionA is correct

20) option A is correct

21) optionA is correct

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 light 10 -0.067 0.397 1.646 3.573 medium 10 0.341 0.338 0.000 3.042 heavy 10 0.742 0.412 1.627 3.708 Weighted mean 0.339 3.272 10.323 SSG SSE Source of variation SS df MS F P value F crit treatment 3.272 2 1.636 4.280 0.0243 3.3541 error 10.323 27 0.382 total 13.595 29

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