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 sample of n1 = 10 batches produced by company 1 is s1 = 4.8 grams per liter, while for company 2, a random sample of n2 = 16 batches yields s2 = 5.7 grams per liter. Is there sufficient evidence to conclude that the two population variances differ? (a) Test the hypothesis H0: sigma squared1 = sigma sqaured2 verses H1: sigma squared1 not equal to sigma squared2.
Calculate f0 = 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.
yes
no