Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but we suspect that the variability in concentration differ between the two companies. The standard deviation of concentration in a random Dample of n_(1)=10 batches produced by company 1 is s_(1)=4.8 grams per liter, while for company 2 , a random sample of n_(2)=16 batches yields s_(2)-5.7 grams per liter. Is there sufficient evidence to conclude that the two population variances differ?
(a) Test the hypothesis H_(0):\sigma _(1)^(2)=\sigma _(2)^(2) vs H_(1):\sigma _(1)^(2)!=\sigma _(2)^(2).
Calculate f_(0) * â—» Round your answer to three decimal places (e.g. 98.765).
(b) Is there sufficient evidence to conclude that the two population variances differ? Use a=0.05. â—»
