25. Cons ider th e fo l lowin g c om p e t in g h y p o th e s e s a nd relevant summa r y statistics:

H0: σ2 1 / σ2 2 ≥ 1 HA: σ21/ σ22 < 1 Samp le 1 : s21 = 1,315 and n 1 = 17 S amp le 2 : s21 = 1,523 and n2 = 19 Condu c t this lef t - tai led h yp o th e s i s t e s t at th e 5% s igni f icance level. You ma y w a n t to first c onv e r t th e a b o v e lef t - tai led t e s t into a right- tailed t e s t by swi tching th e tw o variances. State your a s sump t ion s