A plant pathologist wants to evaluate cottonseed stored at various cotton gins for Aflatoxin, a toxin produced by organisms associated with cottonseed. The pathologist will randomly select eight cotton gins for analysis. Then at each cotton gin, she will take a 3-pound sample from r randomly selected 50-ton lots of cottonseed.

a. Would a test of the difference in the mean Aatoucin levels over the eight cotton gins he a reasonable b. test to conduct? Justify your answer. What is the minimum number of 50-min lots of cottonseed per cotton gin, r, that the plant pathologist would have to take from each of the eight cotton gins in order to have power of at least 90% to detect a. ratio (Ii/0'3 = 2 at the .01 signicance let-rel, where oi is the variance associated with dierences in Aatocdn level from cotton gin to cotton gin and a: is the variance across oUton lots of cottonseed within each cotton gin